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30421632 = 273227349
BaseRepresentation
bin111010000001…
…1001010000000
32010020120122010
41310003022000
530241443012
63004012520
7516402543
oct164031200
963216563
1030421632
111619924a
12a231140
1363c1b87
14407c85a
152a0dc3c
hex1d03280

30421632 has 64 divisors (see below), whose sum is σ = 81396000. Its totient is φ = 10066944.

The previous prime is 30421627. The next prime is 30421637. The reversal of 30421632 is 23612403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30421627) and next prime (30421637).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 30421599 and 30421608.

It is not an unprimeable number, because it can be changed into a prime (30421637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86994 + ... + 87342.

Almost surely, 230421632 is an apocalyptic number.

30421632 is a gapful number since it is divisible by the number (32) 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 30421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40698000).

30421632 is an abundant number, since it is smaller than the sum of its proper divisors (50974368).

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

30421632 is a wasteful number, since it uses less digits than its factorization.

30421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 30421632 is about 5515.5808397666. The cubic root of 30421632 is about 312.1721600808.

The spelling of 30421632 in words is "thirty million, four hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 349 384 454 681 698 908 1047 1362 1396 1816 2094 2724 2792 3632 4188 5448 5584 7264 8376 10896 11168 14528 16752 21792 22336 29056 33504 43584 44672 67008 79223 87168 134016 158446 237669 316892 475338 633784 950676 1267568 1901352 2535136 3802704 5070272 7605408 10140544 15210816 30421632