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30697272 = 23332337167
BaseRepresentation
bin111010100011…
…0011100111000
32010202120202000
41311012130320
530324303042
63013541000
7521631264
oct165063470
963676660
1030697272
1116367351
12a344760
13648a488
1441110a4
152a6574c
hex1d46738

30697272 has 128 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 9465984.

The previous prime is 30697253. The next prime is 30697273. The reversal of 30697272 is 27279603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30697273) 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 31 ways as a sum of consecutive naturals, for example, 183733 + ... + 183899.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 230697272 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 30697272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

30697272 is an abundant number, since it is smaller than the sum of its proper divisors (61232328).

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

30697272 is a wasteful number, since it uses less digits than its factorization.

30697272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 30697272 is about 5540.5118897084. The cubic root of 30697272 is about 313.1121551617.

The spelling of 30697272 in words is "thirty million, six hundred ninety-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 37 46 54 69 72 74 92 108 111 138 148 167 184 207 216 222 276 296 333 334 414 444 501 552 621 666 668 828 851 888 999 1002 1242 1332 1336 1503 1656 1702 1998 2004 2484 2553 2664 3006 3404 3841 3996 4008 4509 4968 5106 6012 6179 6808 7659 7682 7992 9018 10212 11523 12024 12358 15318 15364 18036 18537 20424 22977 23046 24716 30636 30728 34569 36072 37074 45954 46092 49432 55611 61272 69138 74148 91908 92184 103707 111222 138276 142117 148296 166833 183816 207414 222444 276552 284234 333666 414828 426351 444888 568468 667332 829656 852702 1136936 1279053 1334664 1705404 2558106 3410808 3837159 5116212 7674318 10232424 15348636 30697272