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30808920 = 2335733517
BaseRepresentation
bin111010110000…
…1101101011000
32010222020220010
41311201231120
530341341140
63020201520
7522604632
oct165415530
963866803
1030808920
111643321a
12a3992a0
1364c923c
14413da52
152a88880
hex1d61b58

30808920 has 64 divisors (see below), whose sum is σ = 93719520. Its totient is φ = 8100864.

The previous prime is 30808907. The next prime is 30808927. The reversal of 30808920 is 2980803.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30808927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7002 + ... + 10518.

Almost surely, 230808920 is an apocalyptic number.

30808920 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 30808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46859760).

30808920 is an abundant number, since it is smaller than the sum of its proper divisors (62910600).

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

30808920 is a wasteful number, since it uses less digits than its factorization.

30808920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 30808920 is about 5550.5783482444. The cubic root of 30808920 is about 313.4912990521.

The spelling of 30808920 in words is "thirty million, eight hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 3517 4380 7034 8760 10551 14068 17585 21102 28136 35170 42204 52755 70340 84408 105510 140680 211020 256741 422040 513482 770223 1026964 1283705 1540446 2053928 2567410 3080892 3851115 5134820 6161784 7702230 10269640 15404460 30808920