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30755660 = 22513294079
BaseRepresentation
bin111010101010…
…0101101001100
32010212112211112
41311110231030
530333140120
63015111152
7522263435
oct165245514
963775745
1030755660
11163a7201
12a3724b8
1364aac20
14412848c
152a77bc5
hex1d54b4c

30755660 has 48 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 10961664.

The previous prime is 30755653. The next prime is 30755663. The reversal of 30755660 is 6655703.

It is not an unprimeable number, because it can be changed into a prime (30755663) 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, 5501 + ... + 9579.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 230755660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30755660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

30755660 is an abundant number, since it is smaller than the sum of its proper divisors (41215540).

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

30755660 is a wasteful number, since it uses less digits than its factorization.

30755660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 30755660 is about 5545.7785747359. The cubic root of 30755660 is about 313.3105486173.

The spelling of 30755660 in words is "thirty million, seven hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 4079 7540 8158 16316 20395 40790 53027 81580 106054 118291 212108 236582 265135 473164 530270 591455 1060540 1182910 1537783 2365820 3075566 6151132 7688915 15377830 30755660