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3070087680 = 29351136341
BaseRepresentation
bin1011011011111101…
…1101001000000000
321220221220121120010
42312333131020000
522241420301210
61224350344520
7136036212642
oct26677351000
97827817503
103070087680
111335a91350
127181bb140
1339c083c3a
14211a4c892
1512e7da920
hexb6fdd200

3070087680 has 160 divisors (see below), whose sum is σ = 10707225408. Its totient is φ = 744243200.

The previous prime is 3070087627. The next prime is 3070087703. The reversal of 3070087680 is 867800703.

3070087680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66310 + ... + 102650.

Almost surely, 23070087680 is an apocalyptic number.

3070087680 is a gapful number since it is divisible by the number (30) 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 3070087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353612704).

3070087680 is an abundant number, since it is smaller than the sum of its proper divisors (7637137728).

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

3070087680 is a wasteful number, since it uses less digits than its factorization.

3070087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36378 (or 36362 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 3070087680 is about 55408.3719306027. The cubic root of 3070087680 is about 1453.3947696349.

The spelling of 3070087680 in words is "three billion, seventy million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 36341 42240 72682 84480 109023 145364 181705 218046 290728 363410 399751 436092 545115 581456 726820 799502 872184 1090230 1162912 1199253 1453640 1599004 1744368 1998755 2180460 2325824 2398506 2907280 3198008 3488736 3997510 4360920 4651648 4797012 5814560 5996265 6396016 6977472 7995020 8721840 9303296 9594024 11629120 11992530 12792032 13954944 15990040 17443680 18606592 19188048 23258240 23985060 25584064 27909888 31980080 34887360 38376096 46516480 47970120 51168128 55819776 63960160 69774720 76752192 93032960 95940240 102336256 127920320 139549440 153504384 191880480 204672512 255840640 279098880 307008768 383760960 511681280 614017536 767521920 1023362560 1535043840 3070087680