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2152392960 = 28351929501
BaseRepresentation
bin1000000001001010…
…1110100100000000
312120000002220001210
42000102232210000
513402003033320
6553325130120
7104224016064
oct20022564400
95500086053
102152392960
11a04a73763
125009b9940
13283c03503
14165c07aa4
15c8e660e0
hex804ae900

2152392960 has 144 divisors (see below), whose sum is σ = 7236250560. Its totient is φ = 543744000.

The previous prime is 2152392959. The next prime is 2152393037. The reversal of 2152392960 is 692932512.

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, 58210 + ... + 87710.

It is an arithmetic number, because the mean of its divisors is an integer number (50251740).

Almost surely, 22152392960 is an apocalyptic number.

2152392960 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 2152392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618125280).

2152392960 is an abundant number, since it is smaller than the sum of its proper divisors (5083857600).

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

2152392960 is a wasteful number, since it uses less digits than its factorization.

2152392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29544 (or 29530 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 2152392960 is about 46393.8892527885. The cubic root of 2152392960 is about 1291.1415410639.

The spelling of 2152392960 in words is "two billion, one hundred fifty-two million, three hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14592 18240 24320 29501 36480 59002 72960 88503 118004 147505 177006 236008 295010 354012 442515 472016 560519 590020 708024 885030 944032 1121038 1180040 1416048 1681557 1770060 1888064 2242076 2360080 2802595 2832096 3363114 3540120 3776128 4484152 4720160 5605190 5664192 6726228 7080240 7552256 8407785 8968304 9440320 11210380 11328384 13452456 14160480 16815570 17936608 18880640 22420760 22656768 26904912 28320960 33631140 35873216 37761280 44841520 53809824 56641920 67262280 71746432 89683040 107619648 113283840 134524560 143492864 179366080 215239296 269049120 358732160 430478592 538098240 717464320 1076196480 2152392960