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9077605380 = 22325314734613
BaseRepresentation
bin10000111010001000…
…10100010000000100
3212102122010010120200
420131010110100010
5122042331333010
64100432330500
7440644241544
oct103504242004
925378103520
109077605380
113939087308
1219140a3a30
13b1888273c
14621857324
15381e0acc0
hex21d114404

9077605380 has 144 divisors (see below), whose sum is σ = 29029238784. Its totient is φ = 2292698880.

The previous prime is 9077605351. The next prime is 9077605393. The reversal of 9077605380 is 835067709.

It is a happy number.

9077605380 is a `hidden beast` number, since 9 + 0 + 7 + 7 + 605 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244954 + ... + 279566.

It is an arithmetic number, because the mean of its divisors is an integer number (201591936).

Almost surely, 29077605380 is an apocalyptic number.

9077605380 is a gapful number since it is divisible by the number (90) 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 9077605380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514619392).

9077605380 is an abundant number, since it is smaller than the sum of its proper divisors (19951633404).

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

9077605380 is a wasteful number, since it uses less digits than its factorization.

9077605380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34706 (or 34701 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9077605380 is about 95276.4681335323. The cubic root of 9077605380 is about 2086.0454498643.

The spelling of 9077605380 in words is "nine billion, seventy-seven million, six hundred five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 465 470 558 564 620 705 846 930 940 1116 1395 1410 1457 1692 1860 2115 2790 2820 2914 4230 4371 5580 5828 7285 8460 8742 13113 14570 17484 21855 26226 29140 34613 43710 52452 65565 69226 87420 103839 131130 138452 173065 207678 262260 311517 346130 415356 519195 623034 692260 1038390 1073003 1246068 1557585 1626811 2076780 2146006 3115170 3219009 3253622 4292012 4880433 5365015 6230340 6438018 6507244 8134055 9657027 9760866 10730030 12876036 14641299 16095045 16268110 19314054 19521732 21460060 24402165 29282598 32190090 32536220 38628108 48285135 48804330 50431141 58565196 64380180 73206495 96570270 97608660 100862282 146412990 151293423 193140540 201724564 252155705 292825980 302586846 453880269 504311410 605173692 756467115 907760538 1008622820 1512934230 1815521076 2269401345 3025868460 4538802690 9077605380