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1372220928 = 29321322907
BaseRepresentation
bin101000111001010…
…0110111000000000
310112122002001020100
41101302212320000
510302242032203
6344055242400
746001454051
oct12162467000
93478061210
101372220928
11644645991
12323679400
1318b3a3660
14d0360728
1580708ea3
hex51ca6e00

1372220928 has 120 divisors (see below), whose sum is σ = 4265148888. Its totient is φ = 422203392.

The previous prime is 1372220897. The next prime is 1372220951. The reversal of 1372220928 is 8290222731.

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

It is a junction number, because it is equal to n+sod(n) for n = 1372220892 and 1372220901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48451 + ... + 71357.

Almost surely, 21372220928 is an apocalyptic number.

1372220928 is a gapful number since it is divisible by the number (18) 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 1372220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132574444).

1372220928 is an abundant number, since it is smaller than the sum of its proper divisors (2892927960).

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

1372220928 is a wasteful number, since it uses less digits than its factorization.

1372220928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22944 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1372220928 is about 37043.5004825408. The cubic root of 1372220928 is about 1111.2403762616.

The spelling of 1372220928 in words is "one billion, three hundred seventy-two million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 22907 29952 45814 59904 68721 91628 137442 183256 206163 274884 297791 366512 412326 549768 595582 733024 824652 893373 1099536 1191164 1466048 1649304 1786746 2199072 2382328 2680119 2932096 3298608 3573492 4398144 4764656 5360238 5864192 6597216 7146984 8796288 9529312 10720476 11728384 13194432 14293968 17592576 19058624 21440952 26388864 28587936 35185152 38117248 42881904 52777728 57175872 76234496 85763808 105555456 114351744 152468992 171527616 228703488 343055232 457406976 686110464 1372220928