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2190728120 = 2357171924223
BaseRepresentation
bin1000001010010011…
…1101101110111000
312122200020112000112
42002210331232320
513441311244440
61001214523452
7105200611310
oct20244755670
95580215015
102190728120
11a24677509
12511806588
1328bb36339
1416ad46440
15cc4d9965
hex8293dbb8

2190728120 has 128 divisors (see below), whose sum is σ = 6278860800. Its totient is φ = 669689856.

The previous prime is 2190728117. The next prime is 2190728131. The reversal of 2190728120 is 218270912.

It is a happy number.

2190728120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78329 + ... + 102551.

It is an arithmetic number, because the mean of its divisors is an integer number (49053600).

Almost surely, 22190728120 is an apocalyptic number.

2190728120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190728120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139430400).

2190728120 is an abundant number, since it is smaller than the sum of its proper divisors (4088132680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2190728120 is a wasteful number, since it uses less digits than its factorization.

2190728120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24277 (or 24273 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 2190728120 is about 46805.2146667441. The cubic root of 2190728120 is about 1298.7617637684.

The spelling of 2190728120 in words is "two billion, one hundred ninety million, seven hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 68 70 76 85 95 119 133 136 140 152 170 190 238 266 280 323 340 380 476 532 595 646 665 680 760 952 1064 1190 1292 1330 1615 2261 2380 2584 2660 3230 4522 4760 5320 6460 9044 11305 12920 18088 22610 24223 45220 48446 90440 96892 121115 169561 193784 242230 339122 411791 460237 484460 678244 823582 847805 920474 968920 1356488 1647164 1695610 1840948 2058955 2301185 2882537 3221659 3294328 3391220 3681896 4117910 4602370 5765074 6443318 6782440 7824029 8235820 9204740 11530148 12886636 14412685 15648058 16108295 16471640 18409480 23060296 25773272 28825370 31296116 32216590 39120145 54768203 57650740 62592232 64433180 78240290 109536406 115301480 128866360 156480580 219072812 273841015 312961160 438145624 547682030 1095364060 2190728120