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1830672372 = 2234779181227
BaseRepresentation
bin110110100011101…
…1101011111110100
311201120201210101110
41231013131133310
512222123003442
6501353355020
763236313144
oct15507353764
94646653343
101830672372
1185a404281
12431108a70
1323236c0b9
141351bc924
15aaab669c
hex6d1dd7f4

1830672372 has 96 divisors (see below), whose sum is σ = 4461649920. Its totient is φ = 583839360.

The previous prime is 1830672359. The next prime is 1830672383. The reversal of 1830672372 is 2732760381.

It is a super-2 number, since 2×18306723722 = 6702722667208212768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1830672372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8064523 + ... + 8064749.

It is an arithmetic number, because the mean of its divisors is an integer number (46475520).

Almost surely, 21830672372 is an apocalyptic number.

1830672372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1830672372 is an abundant number, since it is smaller than the sum of its proper divisors (2630977548).

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

1830672372 is a wasteful number, since it uses less digits than its factorization.

1830672372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1830672372 is about 42786.3573116478. The cubic root of 1830672372 is about 1223.3109855091.

The spelling of 1830672372 in words is "one billion, eight hundred thirty million, six hundred seventy-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 47 79 94 141 158 181 188 227 237 282 316 362 454 474 543 564 681 724 908 948 1086 1362 2172 2724 3713 7426 8507 10669 11139 14299 14852 17014 17933 21338 22278 25521 28598 32007 34028 35866 41087 42676 42897 44556 51042 53799 57196 64014 71732 82174 85794 102084 107598 123261 128028 164348 171588 215196 246522 493044 672053 842851 1344106 1685702 1931089 2016159 2528553 2688212 3245873 3371404 3862178 4032318 5057106 5793267 6491746 7724356 8064636 9737619 10114212 11586534 12983492 19475238 23173068 38950476 152556031 305112062 457668093 610224124 915336186 1830672372