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2069064960 = 2835717589
BaseRepresentation
bin111101101010011…
…0110110100000000
312100012022101112120
41323110312310000
513214140034320
6541151124240
7102162522234
oct17324666400
95305271476
102069064960
11971a2a146
12498b13680
1326c8793c1
14158b165c4
15c19a6440
hex7b536d00

2069064960 has 144 divisors (see below), whose sum is σ = 6702030720. Its totient is φ = 543907840.

The previous prime is 2069064947. The next prime is 2069064979. The reversal of 2069064960 is 694609602.

It is a congruent number.

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, 268846 + ... + 276434.

It is an arithmetic number, because the mean of its divisors is an integer number (46541880).

Almost surely, 22069064960 is an apocalyptic number.

2069064960 is a gapful number since it is divisible by the number (20) 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 2069064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351015360).

2069064960 is an abundant number, since it is smaller than the sum of its proper divisors (4632965760).

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

2069064960 is an equidigital number, since it uses as much as digits as its factorization.

2069064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2069064960 is about 45486.9757183306. The cubic root of 2069064960 is about 1274.2599750237.

The spelling of 2069064960 in words is "two billion, sixty-nine million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 568 640 710 768 852 960 1065 1136 1280 1420 1704 1920 2130 2272 2840 3408 3840 4260 4544 5680 6816 7589 8520 9088 11360 13632 15178 17040 18176 22720 22767 27264 30356 34080 37945 45440 45534 54528 60712 68160 75890 90880 91068 113835 121424 136320 151780 182136 227670 242848 272640 303560 364272 455340 485696 538819 607120 728544 910680 971392 1077638 1214240 1457088 1616457 1821360 1942784 2155276 2428480 2694095 2914176 3232914 3642720 4310552 4856960 5388190 5828352 6465828 7285440 8082285 8621104 9713920 10776380 12931656 14570880 16164570 17242208 21552760 25863312 29141760 32329140 34484416 43105520 51726624 64658280 68968832 86211040 103453248 129316560 137937664 172422080 206906496 258633120 344844160 413812992 517266240 689688320 1034532480 2069064960