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153102320 = 24571312087
BaseRepresentation
bin10010010000000…
…10011111110000
3101200002101220022
421020002133300
5303143233240
623105303012
73536230310
oct1110023760
9350071808
10153102320
1179471048
1243334a68
1325946cb7
1416495440
15d6939b5
hex92027f0

153102320 has 80 divisors (see below), whose sum is σ = 410116608. Its totient is φ = 52066560.

The previous prime is 153102277. The next prime is 153102331. The reversal of 153102320 is 23201351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72317 + ... + 74403.

Almost surely, 2153102320 is an apocalyptic number.

153102320 is a gapful number since it is divisible by the number (10) 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 153102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205058304).

153102320 is an abundant number, since it is smaller than the sum of its proper divisors (257014288).

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

153102320 is a wasteful number, since it uses less digits than its factorization.

153102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 153102320 is about 12373.4522264403. The cubic root of 153102320 is about 534.9673255731.

Adding to 153102320 its reverse (23201351), we get a palindrome (176303671).

The spelling of 153102320 in words is "one hundred fifty-three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2087 2096 2620 3668 4174 4585 5240 7336 8348 9170 10435 10480 14609 14672 16696 18340 20870 29218 33392 36680 41740 58436 73045 73360 83480 116872 146090 166960 233744 273397 292180 546794 584360 1093588 1168720 1366985 1913779 2187176 2733970 3827558 4374352 5467940 7655116 9568895 10935880 15310232 19137790 21871760 30620464 38275580 76551160 153102320