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20506253240 = 23511314213571
BaseRepresentation
bin10011000110010001…
…001001011110111000
31221221010010121010202
4103012101021132320
5313444100100430
613230452101332
71324110163604
oct230621113670
957833117122
1020506253240
118773277630
123b83604848
131c1a53c075
14dc7628504
1580041bd45
hex4c64497b8

20506253240 has 128 divisors (see below), whose sum is σ = 52095191040. Its totient is φ = 7197120000.

The previous prime is 20506253219. The next prime is 20506253263. The reversal of 20506253240 is 4235260502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5740655 + ... + 5744225.

It is an arithmetic number, because the mean of its divisors is an integer number (406993680).

Almost surely, 220506253240 is an apocalyptic number.

20506253240 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 20506253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26047595520).

20506253240 is an abundant number, since it is smaller than the sum of its proper divisors (31588937800).

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

20506253240 is a wasteful number, since it uses less digits than its factorization.

20506253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 20506253240 in words is "twenty billion, five hundred six million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 421 440 620 682 842 1240 1364 1684 1705 2105 2728 3368 3410 3571 4210 4631 6820 7142 8420 9262 13051 13640 14284 16840 17855 18524 23155 26102 28568 35710 37048 39281 46310 52204 65255 71420 78562 92620 104408 110701 130510 142840 143561 157124 185240 196405 221402 261020 287122 314248 392810 442804 522040 553505 574244 717805 785620 885608 1107010 1148488 1217711 1435610 1503391 1571240 2214020 2435422 2871220 3006782 4428040 4870844 5742440 6013564 6088555 7516955 9741688 12027128 12177110 15033910 16537301 24354220 30067820 33074602 46605121 48708440 60135640 66149204 82686505 93210242 132298408 165373010 186420484 233025605 330746020 372840968 466051210 512656331 661492040 932102420 1025312662 1864204840 2050625324 2563281655 4101250648 5126563310 10253126620 20506253240