Search a number
-
+
20974459240 = 23571710394241
BaseRepresentation
bin10011100010001011…
…001101100101101000
32000010202010221000201
4103202023031211220
5320423430143430
613345135241544
71341523650640
oct234213154550
960122127021
1020974459240
118993598739
1240943792b4
131c93541737
14102d8a5520
1582b5a48ca
hex4e22cd968

20974459240 has 128 divisors (see below), whose sum is σ = 57175372800. Its totient is φ = 6760120320.

The previous prime is 20974459237. The next prime is 20974459243. The reversal of 20974459240 is 4295447902.

It is an interprime number because it is at equal distance from previous prime (20974459237) and next prime (20974459243).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20974459243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4943520 + ... + 4947760.

It is an arithmetic number, because the mean of its divisors is an integer number (446682600).

Almost surely, 220974459240 is an apocalyptic number.

20974459240 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 20974459240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28587686400).

20974459240 is an abundant number, since it is smaller than the sum of its proper divisors (36200913560).

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

20974459240 is a wasteful number, since it uses less digits than its factorization.

20974459240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 20974459240 in words is "twenty billion, nine hundred seventy-four million, four hundred fifty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1039 1190 2078 2380 4156 4241 4760 5195 7273 8312 8482 10390 14546 16964 17663 20780 21205 29092 29687 33928 35326 36365 41560 42410 58184 59374 70652 72097 72730 84820 88315 118748 123641 141304 144194 145460 148435 169640 176630 237496 247282 288388 290920 296870 353260 360485 494564 504679 576776 593740 618205 706520 720970 989128 1009358 1187480 1236410 1441940 2018716 2472820 2523395 2883880 4037432 4406399 4945640 5046790 8812798 10093580 17625596 20187160 22031995 30844793 35251192 44063990 61689586 74908783 88127980 123379172 149817566 154223965 176255960 246758344 299635132 308447930 374543915 524361481 599270264 616895860 749087830 1048722962 1233791720 1498175660 2097445924 2621807405 2996351320 4194891848 5243614810 10487229620 20974459240