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1900534272 = 29371313597
BaseRepresentation
bin111000101000111…
…1101101000000000
311220110012010220020
41301101331220000
512343014044042
6512331013440
765045163150
oct16121755000
94813163806
101900534272
1189589058a
1245059a280
1324398cac0
141405a6760
15b1cb63ec
hex7147da00

1900534272 has 160 divisors (see below), whose sum is σ = 6232017792. Its totient is φ = 501202944.

The previous prime is 1900534243. The next prime is 1900534277. The reversal of 1900534272 is 2724350091.

It is a super-2 number, since 2×19005342722 = 7224061038093139968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1900534277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132978 + ... + 146574.

Almost surely, 21900534272 is an apocalyptic number.

1900534272 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 1900534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116008896).

1900534272 is an abundant number, since it is smaller than the sum of its proper divisors (4331483520).

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

1900534272 is a wasteful number, since it uses less digits than its factorization.

1900534272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13638 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1900534272 is about 43595.1175247871. The cubic root of 1900534272 is about 1238.6784115876.

The spelling of 1900534272 in words is "one billion, nine hundred million, five hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10752 11648 13597 17472 19968 23296 27194 34944 40791 46592 54388 69888 81582 95179 108776 139776 163164 176761 190358 217552 285537 326328 353522 380716 435104 530283 571074 652656 707044 761432 870208 1060566 1142148 1237327 1305312 1414088 1522864 1740416 2121132 2284296 2474654 2610624 2828176 3045728 3480832 3711981 4242264 4568592 4949308 5221248 5656352 6091456 6961664 7423962 8484528 9137184 9898616 10442496 11312704 12182912 14847924 16969056 18274368 19797232 20884992 22625408 24365824 29695848 33938112 36548736 39594464 45250816 48731648 59391696 67876224 73097472 79188928 90501632 118783392 135752448 146194944 158377856 237566784 271504896 316755712 475133568 633511424 950267136 1900534272