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2930768640 = 28325254407
BaseRepresentation
bin1010111010101111…
…1111101100000000
321120020202110202200
42232223333230000
522000234044030
61202452313200
7132425056662
oct25653775400
97506673680
102930768640
111274384948
12699612800
13379254837
141db344532
1512246ad60
hexaeaffb00

2930768640 has 108 divisors (see below), whose sum is σ = 10140194064. Its totient is φ = 781535232.

The previous prime is 2930768609. The next prime is 2930768653. The reversal of 2930768640 is 468670392.

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 11 ways as a sum of consecutive naturals, for example, 115684 + ... + 138723.

Almost surely, 22930768640 is an apocalyptic number.

2930768640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2930768640 is an abundant number, since it is smaller than the sum of its proper divisors (7209425424).

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

2930768640 is a wasteful number, since it uses less digits than its factorization.

2930768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254434 (or 254417 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2930768640 is about 54136.5739588312. The cubic root of 2930768640 is about 1431.0687952487.

The spelling of 2930768640 in words is "two billion, nine hundred thirty million, seven hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 254407 508814 763221 1017628 1272035 1526442 2035256 2289663 2544070 3052884 3816105 4070512 4579326 5088140 6105768 7632210 8141024 9158652 10176280 11448315 12211536 15264420 16282048 18317304 20352560 22896630 24423072 30528840 32564096 36634608 40705120 45793260 48846144 61057680 65128192 73269216 81410240 91586520 97692288 122115360 146538432 162820480 183173040 195384576 244230720 293076864 325640960 366346080 488461440 586153728 732692160 976922880 1465384320 2930768640