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1147700970 = 2325132611237
BaseRepresentation
bin100010001101000…
…1000011011101010
32221222121020202100
41010122020123222
54322302412340
6305515114230
740304203653
oct10432103352
92858536670
101147700970
115399357a9
12280442976
13153a12800
14ac5d852a
156ab59830
hex446886ea

1147700970 has 144 divisors (see below), whose sum is σ = 3286845432. Its totient is φ = 277655040.

The previous prime is 1147700933. The next prime is 1147700977. The reversal of 1147700970 is 790077411.

It can be written as a sum of positive squares in 12 ways, for example, as 63250209 + 1084450761 = 7953^2 + 32931^2 .

It is not an unprimeable number, because it can be changed into a prime (1147700977) 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 71 ways as a sum of consecutive naturals, for example, 927192 + ... + 928428.

Almost surely, 21147700970 is an apocalyptic number.

1147700970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147700970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643422716).

1147700970 is an abundant number, since it is smaller than the sum of its proper divisors (2139144462).

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

1147700970 is a wasteful number, since it uses less digits than its factorization.

1147700970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 1147700970 is about 33877.7356090988. The cubic root of 1147700970 is about 1046.9909222728.

The spelling of 1147700970 in words is "one billion, one hundred forty-seven million, seven hundred thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 169 183 195 234 305 338 366 390 507 549 585 610 793 845 915 1014 1098 1170 1237 1521 1586 1690 1830 2379 2474 2535 2745 3042 3711 3965 4758 5070 5490 6185 7137 7422 7605 7930 10309 11133 11895 12370 14274 15210 16081 18555 20618 22266 23790 30927 32162 35685 37110 48243 51545 55665 61854 71370 75457 80405 92781 96486 103090 111330 144729 150914 154635 160810 185562 209053 226371 241215 289458 309270 377285 418106 452742 463905 482430 627159 679113 723645 754570 927810 980941 1045265 1131855 1254318 1358226 1447290 1881477 1961882 2090530 2263710 2942823 3135795 3395565 3762954 4904705 5885646 6271590 6791130 8828469 9407385 9809410 12752233 14714115 17656938 18814770 25504466 29428230 38256699 44142345 63761165 76513398 88284690 114770097 127522330 191283495 229540194 382566990 573850485 1147700970