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30492840 = 23357311171
BaseRepresentation
bin111010001010…
…0100010101000
32010101012022110
41310110202220
530301232330
63005322320
7520120260
oct164244250
963335273
1030492840
11162377a4
12a2663a0
136418401
14409a7a0
152a24db0
hex1d148a8

30492840 has 128 divisors (see below), whose sum is σ = 108011520. Its totient is φ = 6739200.

The previous prime is 30492821. The next prime is 30492851. The reversal of 30492840 is 4829403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30492798 and 30492807.

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, 25455 + ... + 26625.

It is an arithmetic number, because the mean of its divisors is an integer number (843840).

Almost surely, 230492840 is an apocalyptic number.

30492840 is a gapful number since it is divisible by the number (30) 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 30492840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54005760).

30492840 is an abundant number, since it is smaller than the sum of its proper divisors (77518680).

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

30492840 is a wasteful number, since it uses less digits than its factorization.

30492840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 30492840 is about 5522.0322346035. The cubic root of 30492840 is about 312.4155377070.

The spelling of 30492840 in words is "thirty million, four hundred ninety-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1171 1240 1302 1736 1860 2170 2342 2604 3255 3513 3720 4340 4684 5208 5855 6510 7026 8197 8680 9368 11710 13020 14052 16394 17565 23420 24591 26040 28104 32788 35130 36301 40985 46840 49182 65576 70260 72602 81970 98364 108903 122955 140520 145204 163940 181505 196728 217806 245910 254107 290408 327880 363010 435612 491820 508214 544515 726020 762321 871224 983640 1016428 1089030 1270535 1452040 1524642 2032856 2178060 2541070 3049284 3811605 4356120 5082140 6098568 7623210 10164280 15246420 30492840