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5300315520 = 27353189051
BaseRepresentation
bin1001110111110110…
…00110010110000000
3111200101110221000020
410323323012112000
541323340044040
62233540053440
7245226636633
oct47373062600
914611427006
105300315520
11227a987555
12103b094280
1366613a196
14383d17c1a
152104c8cd0
hex13bec6580

5300315520 has 128 divisors (see below), whose sum is σ = 17439943680. Its totient is φ = 1367808000.

The previous prime is 5300315497. The next prime is 5300315561. The reversal of 5300315520 is 255130035.

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

It is a super-2 number, since 2×53003155202 = 56186689223105740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14995 + ... + 104045.

It is an arithmetic number, because the mean of its divisors is an integer number (136249560).

Almost surely, 25300315520 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 5300315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8719971840).

5300315520 is an abundant number, since it is smaller than the sum of its proper divisors (12139628160).

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

5300315520 is a wasteful number, since it uses less digits than its factorization.

5300315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89104 (or 89092 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 5300315520 is about 72803.2658608115. The cubic root of 5300315520 is about 1743.5479989024.

Adding to 5300315520 its reverse (255130035), we get a palindrome (5555445555).

The spelling of 5300315520 in words is "five billion, three hundred million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7440 9920 11904 14880 19840 29760 59520 89051 178102 267153 356204 445255 534306 712408 890510 1068612 1335765 1424816 1781020 2137224 2671530 2760581 2849632 3562040 4274448 5343060 5521162 5699264 7124080 8281743 8548896 10686120 11042324 11398528 13802905 14248160 16563486 17097792 21372240 22084648 27605810 28496320 33126972 34195584 41408715 42744480 44169296 55211620 56992640 66253944 82817430 85488960 88338592 110423240 132507888 165634860 170977920 176677184 220846480 265015776 331269720 353354368 441692960 530031552 662539440 883385920 1060063104 1325078880 1766771840 2650157760 5300315520