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74198016 = 210328397
BaseRepresentation
bin1000110110000…
…10110000000000
312011121122112200
410123002300000
5122443314031
611210153200
71560446514
oct433026000
9164548480
1074198016
1138979082
1220a22800
13124ab569
149bd6144
1567a98e6
hex46c2c00

74198016 has 132 divisors (see below), whose sum is σ = 219061752. Its totient is φ = 24182784.

The previous prime is 74198009. The next prime is 74198017. The reversal of 74198016 is 61089147.

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

It is not an unprimeable number, because it can be changed into a prime (74198017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764880 + ... + 764976.

Almost surely, 274198016 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 74198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109530876).

74198016 is an abundant number, since it is smaller than the sum of its proper divisors (144863736).

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

74198016 is a wasteful number, since it uses less digits than its factorization.

74198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 74198016 is about 8613.8270240353. The cubic root of 74198016 is about 420.2077883395.

The spelling of 74198016 in words is "seventy-four million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 97 128 144 166 192 194 249 256 288 291 332 384 388 498 512 576 582 664 747 768 776 873 996 1024 1152 1164 1328 1494 1536 1552 1746 1992 2304 2328 2656 2988 3072 3104 3492 3984 4608 4656 5312 5976 6208 6984 7968 8051 9216 9312 10624 11952 12416 13968 15936 16102 18624 21248 23904 24153 24832 27936 31872 32204 37248 42496 47808 48306 49664 55872 63744 64408 72459 74496 84992 95616 96612 99328 111744 127488 128816 144918 148992 191232 193224 223488 254976 257632 289836 297984 382464 386448 446976 515264 579672 764928 772896 893952 1030528 1159344 1545792 2061056 2318688 3091584 4122112 4637376 6183168 8244224 9274752 12366336 18549504 24732672 37099008 74198016