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18717972 = 22371361281
BaseRepresentation
bin100011101100…
…1110100010100
31022012222020020
41013121310110
514242433342
61505105140
7315046230
oct107316424
938188206
1018717972
11a6250a9
1263281b0
133b54a30
1426b35c0
15199b0ec
hex11d9d14

18717972 has 96 divisors (see below), whose sum is σ = 54829824. Its totient is φ = 4838400.

The previous prime is 18717971. The next prime is 18717977. The reversal of 18717972 is 27971781.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18717971) 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, 66472 + ... + 66752.

It is an arithmetic number, because the mean of its divisors is an integer number (571144).

Almost surely, 218717972 is an apocalyptic number.

18717972 is a gapful number since it is divisible by the number (12) 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 18717972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27414912).

18717972 is an abundant number, since it is smaller than the sum of its proper divisors (36111852).

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

18717972 is a wasteful number, since it uses less digits than its factorization.

18717972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its digits is 49392, while the sum is 42.

The square root of 18717972 is about 4326.4271633763. The cubic root of 18717972 is about 265.5132901799.

The spelling of 18717972 in words is "eighteen million, seven hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 244 273 281 364 366 427 546 562 732 793 843 854 1092 1124 1281 1586 1686 1708 1967 2379 2562 3172 3372 3653 3934 4758 5124 5551 5901 7306 7868 9516 10959 11102 11802 14612 16653 17141 21918 22204 23604 25571 33306 34282 43836 51142 51423 66612 68564 76713 102284 102846 119987 153426 205692 222833 239974 306852 359961 445666 479948 668499 719922 891332 1336998 1439844 1559831 2673996 3119662 4679493 6239324 9358986 18717972