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30466956 = 22313192541
BaseRepresentation
bin111010000111…
…0001110001100
32010022212210210
41310032032030
530244420311
63005002420
7516651642
oct164161614
963285723
1030466956
111621a303
12a253410
1364096b0
144091192
152a1c3a6
hex1d0e38c

30466956 has 72 divisors (see below), whose sum is σ = 80948784. Its totient is φ = 8864640.

The previous prime is 30466939. The next prime is 30466957. The reversal of 30466956 is 65966403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (30466957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56046 + ... + 56586.

Almost surely, 230466956 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 30466956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40474392).

30466956 is an abundant number, since it is smaller than the sum of its proper divisors (50481828).

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

30466956 is a wasteful number, since it uses less digits than its factorization.

30466956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 30466956 is about 5519.6880346628. The cubic root of 30466956 is about 312.3271141846.

The spelling of 30466956 in words is "thirty million, four hundred sixty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 541 722 741 988 1082 1083 1444 1482 1623 2164 2166 2964 3246 4332 4693 6492 7033 9386 10279 14066 14079 18772 20558 21099 28132 28158 30837 41116 42198 56316 61674 84396 123348 133627 195301 267254 390602 400881 534508 585903 781204 801762 1171806 1603524 2343612 2538913 5077826 7616739 10155652 15233478 30466956