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30121632 = 253411621
BaseRepresentation
bin111001011100…
…1111010100000
32002200100010000
41302321322200
530202343012
62553340000
7514013112
oct162717240
962610100
1030121632
1116003912
12a107600
136318468
1440013b2
15299eddc
hex1cb9ea0

30121632 has 60 divisors (see below), whose sum is σ = 88594506. Its totient is φ = 10039680.

The previous prime is 30121627. The next prime is 30121639. The reversal of 30121632 is 23612103.

30121632 is a `hidden beast` number, since 30 + 1 + 2 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29550096 + 571536 = 5436^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (30121639) 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 9 ways as a sum of consecutive naturals, for example, 3219 + ... + 8402.

Almost surely, 230121632 is an apocalyptic number.

30121632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30121632 is an abundant number, since it is smaller than the sum of its proper divisors (58472874).

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

30121632 is a wasteful number, since it uses less digits than its factorization.

30121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11626 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30121632 is about 5488.3177750564. The cubic root of 30121632 is about 311.1426164617.

Adding to 30121632 its reverse (23612103), we get a palindrome (53733735).

The spelling of 30121632 in words is "thirty million, one hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 11621 23242 34863 46484 69726 92968 104589 139452 185936 209178 278904 313767 371872 418356 557808 627534 836712 941301 1115616 1255068 1673424 1882602 2510136 3346848 3765204 5020272 7530408 10040544 15060816 30121632