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2123025920 = 29541113179
BaseRepresentation
bin111111010001010…
…1100111000000000
312110221211220001122
41332202230320000
513321443312140
6550355451412
7103416264641
oct17642547000
95427756048
102123025920
1199a435884
124b2bb6b68
1327aac0672
14161d616c8
15c65b4ab5
hex7e8ace00

2123025920 has 160 divisors (see below), whose sum is σ = 5289973920. Its totient is φ = 816578560.

The previous prime is 2123025913. The next prime is 2123025941. The reversal of 2123025920 is 295203212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2123025920.

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, 11860391 + ... + 11860569.

It is an arithmetic number, because the mean of its divisors is an integer number (33062337).

Almost surely, 22123025920 is an apocalyptic number.

2123025920 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 2123025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644986960).

2123025920 is an abundant number, since it is smaller than the sum of its proper divisors (3166948000).

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

2123025920 is a wasteful number, since it uses less digits than its factorization.

2123025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2123025920 is about 46076.3054074434. The cubic root of 2123025920 is about 1285.2425609620.

The spelling of 2123025920 in words is "two billion, one hundred twenty-three million, twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 113 128 160 164 179 205 226 256 320 328 358 410 452 512 565 640 656 716 820 895 904 1130 1280 1312 1432 1640 1790 1808 2260 2560 2624 2864 3280 3580 3616 4520 4633 5248 5728 6560 7160 7232 7339 9040 9266 10496 11456 13120 14320 14464 14678 18080 18532 20227 20992 22912 23165 26240 28640 28928 29356 36160 36695 37064 40454 45824 46330 52480 57280 57856 58712 72320 73390 74128 80908 91648 92660 101135 104960 114560 117424 144640 146780 148256 161816 185320 202270 229120 234848 289280 293560 296512 323632 370640 404540 458240 469696 587120 593024 647264 741280 809080 829307 939392 1174240 1186048 1294528 1482560 1618160 1658614 1878784 2348480 2372096 2589056 2965120 3236320 3317228 3757568 4146535 4696960 5178112 5930240 6472640 6634456 8293070 9393920 10356224 11860480 12945280 13268912 16586140 18787840 25890560 26537824 33172280 51781120 53075648 66344560 106151296 132689120 212302592 265378240 424605184 530756480 1061512960 2123025920