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80874072 = 23332373223
BaseRepresentation
bin1001101001000…
…00101001011000
312122011211101000
410310200221120
5131200432242
612005225000
72001263316
oct464405130
9178154330
1080874072
1141718984
1223102160
13139a81a6
14aa530b6
157177a4c
hex4d20a58

80874072 has 128 divisors (see below), whose sum is σ = 238694400. Its totient is φ = 25318656.

The previous prime is 80874047. The next prime is 80874077. The reversal of 80874072 is 27047808.

It is a super-2 number, since 2×808740722 = 13081231043722368, which contains 22 as substring.

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 (80874077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362553 + ... + 362775.

It is an arithmetic number, because the mean of its divisors is an integer number (1864800).

Almost surely, 280874072 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 80874072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119347200).

80874072 is an abundant number, since it is smaller than the sum of its proper divisors (157820328).

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

80874072 is a wasteful number, since it uses less digits than its factorization.

80874072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 80874072 is about 8993.0012787723. The cubic root of 80874072 is about 432.4505330619.

The spelling of 80874072 in words is "eighty million, eight hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 73 92 108 138 146 184 207 216 219 223 276 292 414 438 446 552 584 621 657 669 828 876 892 1242 1314 1338 1656 1679 1752 1784 1971 2007 2484 2628 2676 3358 3942 4014 4968 5037 5129 5256 5352 6021 6716 7884 8028 10074 10258 12042 13432 15111 15387 15768 16056 16279 20148 20516 24084 30222 30774 32558 40296 41032 45333 46161 48168 48837 60444 61548 65116 90666 92322 97674 120888 123096 130232 138483 146511 181332 184644 195348 276966 293022 362664 369288 374417 390696 439533 553932 586044 748834 879066 1107864 1123251 1172088 1497668 1758132 2246502 2995336 3369753 3516264 4493004 6739506 8986008 10109259 13479012 20218518 26958024 40437036 80874072