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2157365728 = 257443653
BaseRepresentation
bin1000000010010110…
…1100100111100000
312120100110112102101
42000211230213200
513404241200403
6554023500144
7104314210000
oct20045544740
95510415371
102157365728
11a0785a891
125025b7654
13284c54a8b
14166740000
15c95e971d
hex8096c9e0

2157365728 has 120 divisors (see below), whose sum is σ = 5077899288. Its totient is φ = 901700352.

The previous prime is 2157365701. The next prime is 2157365729. The reversal of 2157365728 is 8275637512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157365729) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3303450 + ... + 3304102.

Almost surely, 22157365728 is an apocalyptic number.

2157365728 is a gapful number since it is divisible by the number (28) 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 2157365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538949644).

2157365728 is an abundant number, since it is smaller than the sum of its proper divisors (2920533560).

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

2157365728 is an frugal number, since it uses more digits than its factorization.

2157365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 705 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The square root of 2157365728 is about 46447.4512540785. The cubic root of 2157365728 is about 1292.1351033049.

The spelling of 2157365728 in words is "two billion, one hundred fifty-seven million, three hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 343 344 392 602 653 686 688 784 1204 1306 1372 1376 1568 2107 2401 2408 2612 2744 4214 4571 4802 4816 5224 5488 8428 9142 9604 9632 10448 10976 14749 16856 18284 19208 20896 28079 29498 31997 33712 36568 38416 56158 58996 63994 67424 73136 76832 103243 112316 117992 127988 146272 196553 206486 223979 224632 235984 255976 393106 412972 447958 449264 471968 511952 786212 825944 895916 898528 1023904 1375871 1567853 1572424 1651888 1791832 2751742 3135706 3144848 3303776 3583664 5503484 6271412 6289696 7167328 9631097 11006968 12542824 19262194 22013936 25085648 38524388 44027872 50171296 67417679 77048776 134835358 154097552 269670716 308195104 539341432 1078682864 2157365728