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23620604340 = 22354353172741
BaseRepresentation
bin10101111111111001…
…011101000110110100
32020222011100000200210
4111333321131012310
5341333333314330
614503503305420
71464224552454
oct257771350664
966864300623
1023620604340
11a021240713
1246b25ab270
1322c5820278
1412010b9d64
15933a4c8b0
hex57fe5d1b4

23620604340 has 96 divisors (see below), whose sum is σ = 68953078656. Its totient is φ = 6036226560.

The previous prime is 23620604333. The next prime is 23620604347. The reversal of 23620604340 is 4340602632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23620604333) and next prime (23620604347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23620604298 and 23620604307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23620604347) 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, 50370 + ... + 223110.

It is an arithmetic number, because the mean of its divisors is an integer number (718261236).

Almost surely, 223620604340 is an apocalyptic number.

23620604340 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 23620604340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476539328).

23620604340 is an abundant number, since it is smaller than the sum of its proper divisors (45332474316).

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

23620604340 is a wasteful number, since it uses less digits than its factorization.

23620604340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172849 (or 172847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2362060 and 4340, that added together give a triangular number (2366400 = T2175).

The spelling of 23620604340 in words is "twenty-three billion, six hundred twenty million, six hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 53 60 86 106 129 159 172 212 215 258 265 318 430 516 530 636 645 795 860 1060 1290 1590 2279 2580 3180 4558 6837 9116 11395 13674 22790 27348 34185 45580 68370 136740 172741 345482 518223 690964 863705 1036446 1727410 2072892 2591115 3454820 5182230 7427863 9155273 10364460 14855726 18310546 22283589 27465819 29711452 36621092 37139315 44567178 45776365 54931638 74278630 89134356 91552730 109863276 111417945 137329095 148557260 183105460 222835890 274658190 393676739 445671780 549316380 787353478 1181030217 1574706956 1968383695 2362060434 3936767390 4724120868 5905151085 7873534780 11810302170 23620604340