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74299940 = 225111383313
BaseRepresentation
bin1000110110110…
…11101000100100
312011210211100122
410123123220210
5123010044230
611212301112
71561352621
oct433335044
9164724318
1074299940
1138a38710
1220a71798
1312515a80
149c21348
1567c9be5
hex46dba24

74299940 has 96 divisors (see below), whose sum is σ = 186109056. Its totient is φ = 24560640.

The previous prime is 74299931. The next prime is 74299961. The reversal of 74299940 is 4999247.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 74299891 and 74299900.

It is an unprimeable number.

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, 237224 + ... + 237536.

It is an arithmetic number, because the mean of its divisors is an integer number (1938636).

Almost surely, 274299940 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 74299940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93054528).

74299940 is an abundant number, since it is smaller than the sum of its proper divisors (111809116).

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

74299940 is a wasteful number, since it uses less digits than its factorization.

74299940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 74299940 is about 8619.7412954218. The cubic root of 74299940 is about 420.4001100246.

The spelling of 74299940 in words is "seventy-four million, two hundred ninety-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 83 110 130 143 166 220 260 286 313 332 415 572 626 715 830 913 1079 1252 1430 1565 1660 1826 2158 2860 3130 3443 3652 4069 4316 4565 5395 6260 6886 8138 9130 10790 11869 13772 16276 17215 18260 20345 21580 23738 25979 34430 40690 44759 47476 51958 59345 68860 81380 89518 103916 118690 129895 179036 223795 237380 259790 285769 337727 447590 519580 571538 675454 895180 1143076 1350908 1428845 1688635 2857690 3377270 3714997 5715380 6754540 7429994 14859988 18574985 37149970 74299940