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5365415040 = 273522912203
BaseRepresentation
bin1001111111100110…
…11011110010000000
3111211220222022202120
410333303123302000
541442021240130
62244223244240
7246650163306
oct47763336200
914756868676
105365415040
112303700807
121058a49680
136767812cb
1438c822276
15216087910
hex13fcdbc80

5365415040 has 128 divisors (see below), whose sum is σ = 17178350400. Its totient is φ = 1424412672.

The previous prime is 5365415039. The next prime is 5365415047. The reversal of 5365415040 is 405145635.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5365414992 and 5365415010.

It is not an unprimeable number, because it can be changed into a prime (5365415047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433579 + ... + 445781.

Almost surely, 25365415040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5365415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589175200).

5365415040 is an abundant number, since it is smaller than the sum of its proper divisors (11812935360).

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

5365415040 is a wasteful number, since it uses less digits than its factorization.

5365415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 5365415040 is about 73248.9934401832. The cubic root of 5365415040 is about 1750.6571725027.

The spelling of 5365415040 in words is "five billion, three hundred sixty-five million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 320 384 458 480 640 687 916 960 1145 1374 1832 1920 2290 2748 3435 3664 4580 5496 6870 7328 9160 10992 12203 13740 14656 18320 21984 24406 27480 29312 36609 36640 43968 48812 54960 61015 73218 73280 87936 97624 109920 122030 146436 146560 183045 195248 219840 244060 292872 366090 390496 439680 488120 585744 732180 780992 976240 1171488 1464360 1561984 1952480 2342976 2794487 2928720 3904960 4685952 5588974 5857440 7809920 8383461 11177948 11714880 13972435 16766922 22355896 23429760 27944870 33533844 41917305 44711792 55889740 67067688 83834610 89423584 111779480 134135376 167669220 178847168 223558960 268270752 335338440 357694336 447117920 536541504 670676880 894235840 1073083008 1341353760 1788471680 2682707520 5365415040