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74680632 = 233213233469
BaseRepresentation
bin1000111001110…
…00100100111000
312012112011120100
410130320210320
5123104240012
611224355400
71564526535
oct434704470
9165464510
1074680632
1139178734
1221015b60
131261a130
149cbdd8c
1568528dc
hex4738938

74680632 has 96 divisors (see below), whose sum is σ = 227354400. Its totient is φ = 21973248.

The previous prime is 74680589. The next prime is 74680633. The reversal of 74680632 is 23608647.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (74680633) 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, 19794 + ... + 23262.

It is an arithmetic number, because the mean of its divisors is an integer number (2368275).

Almost surely, 274680632 is an apocalyptic number.

74680632 is a gapful number since it is divisible by the number (72) 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 74680632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113677200).

74680632 is an abundant number, since it is smaller than the sum of its proper divisors (152673768).

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

74680632 is a wasteful number, since it uses less digits than its factorization.

74680632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74680632 is about 8641.7956467392. The cubic root of 74680632 is about 421.1168912034.

The spelling of 74680632 in words is "seventy-four million, six hundred eighty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3469 3588 5382 6938 7176 10407 10764 13876 20814 21528 27752 31221 41628 45097 62442 79787 83256 90194 124884 135291 159574 180388 239361 249768 270582 319148 360776 405873 478722 541164 638296 718083 811746 957444 1037231 1082328 1436166 1623492 1914888 2074462 2872332 3111693 3246984 4148924 5744664 6223386 8297848 9335079 12446772 18670158 24893544 37340316 74680632