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1350076572 = 223413378663
BaseRepresentation
bin101000001111000…
…1000100010011100
310111002101222220000
41100132020202130
510231104422242
6341544454300
745312314205
oct12036104234
93432358800
101350076572
116330a0569
1231817a390
1318691c1a0
14cb4385ac
157d7d2a4c
hex5078889c

1350076572 has 120 divisors (see below), whose sum is σ = 3904033056. Its totient is φ = 404134272.

The previous prime is 1350076561. The next prime is 1350076591. The reversal of 1350076572 is 2756700531.

1350076572 is a `hidden beast` number, since 13 + 5 + 0 + 0 + 76 + 572 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151513 + ... + 160175.

Almost surely, 21350076572 is an apocalyptic number.

1350076572 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 1350076572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952016528).

1350076572 is an abundant number, since it is smaller than the sum of its proper divisors (2553956484).

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

1350076572 is a wasteful number, since it uses less digits than its factorization.

1350076572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1350076572 is about 36743.3881399089. The cubic root of 1350076572 is about 1105.2303450237.

The spelling of 1350076572 in words is "one billion, three hundred fifty million, seventy-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 148 156 162 222 234 324 333 351 444 468 481 666 702 962 999 1053 1332 1404 1443 1924 1998 2106 2886 2997 3996 4212 4329 5772 5994 8658 8663 11988 12987 17316 17326 25974 25989 34652 38961 51948 51978 77922 77967 103956 112619 155844 155934 225238 233901 311868 320531 337857 450476 467802 641062 675714 701703 935604 961593 1013571 1282124 1351428 1403406 1923186 2027142 2806812 2884779 3040713 3846372 4054284 4166903 5769558 6081426 8333806 8654337 9122139 11539116 12162852 12500709 16667612 17308674 18244278 25001418 25963011 34617348 36488556 37502127 50002836 51926022 75004254 103852044 112506381 150008508 225012762 337519143 450025524 675038286 1350076572