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5996854240 = 2551310332791
BaseRepresentation
bin1011001010111000…
…01011101111100000
3120110221010202111121
411211130023233200
544240143313430
62431021222024
7301415264026
oct54534135740
916427122447
105996854240
1125a8082393
1211b4401914
13747536c80
1440c630716
15251715a7a
hex16570bbe0

5996854240 has 96 divisors (see below), whose sum is σ = 15277622976. Its totient is φ = 2211287040.

The previous prime is 5996854211. The next prime is 5996854249. The reversal of 5996854240 is 424586995.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5996854249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2147245 + ... + 2150035.

It is an arithmetic number, because the mean of its divisors is an integer number (159141906).

Almost surely, 25996854240 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 5996854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638811488).

5996854240 is an abundant number, since it is smaller than the sum of its proper divisors (9280768736).

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

5996854240 is a wasteful number, since it uses less digits than its factorization.

5996854240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The square root of 5996854240 is about 77439.3584684171. The cubic root of 5996854240 is about 1816.8029692455.

The spelling of 5996854240 in words is "five billion, nine hundred ninety-six million, eight hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1033 1040 2066 2080 2791 4132 5165 5582 8264 10330 11164 13429 13955 16528 20660 22328 26858 27910 33056 36283 41320 44656 53716 55820 67145 72566 82640 89312 107432 111640 134290 145132 165280 181415 214864 223280 268580 290264 362830 429728 446560 537160 580528 725660 1074320 1161056 1451320 2148640 2883103 2902640 5766206 5805280 11532412 14415515 23064824 28831030 37480339 46129648 57662060 74960678 92259296 115324120 149921356 187401695 230648240 299842712 374803390 461296480 599685424 749606780 1199370848 1499213560 2998427120 5996854240