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5646012240 = 2435114745503
BaseRepresentation
bin1010100001000011…
…10100111101010000
3112120110222010202110
411100201310331100
543030334342430
62332125345320
7256625212041
oct52041647520
915513863673
105646012240
112438032620
121116a08240
136bc94775b
143b7bc48c8
15230a127b0
hex150874f50

5646012240 has 160 divisors (see below), whose sum is σ = 19500466176. Its totient is φ = 1339578880.

The previous prime is 5646012223. The next prime is 5646012247. The reversal of 5646012240 is 422106465.

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 = 5646012198 and 5646012207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5646012247) 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, 101329 + ... + 146831.

Almost surely, 25646012240 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 5646012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750233088).

5646012240 is an abundant number, since it is smaller than the sum of its proper divisors (13854453936).

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

5646012240 is a wasteful number, since it uses less digits than its factorization.

5646012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45577 (or 45571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5646012240 is about 75139.9510247378. The cubic root of 5646012240 is about 1780.6583685873.

The spelling of 5646012240 in words is "five billion, six hundred forty-six million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 41360 45503 62040 91006 124080 136509 182012 227515 273018 364024 455030 500533 546036 682545 728048 910060 1001066 1092072 1365090 1501599 1820120 2002132 2138641 2184144 2502665 2730180 3003198 3640240 4004264 4277282 5005330 5460360 6006396 6415923 7507995 8008528 8554564 10010660 10693205 10920720 12012792 12831846 15015990 17109128 20021320 21386410 23525051 24025584 25663692 30031980 32079615 34218256 40042640 42772820 47050102 51327384 60063960 64159230 70575153 85545640 94100204 102654768 117625255 120127920 128318460 141150306 171091280 188200408 235250510 256636920 282300612 352875765 376400816 470501020 513273840 564601224 705751530 941002040 1129202448 1411503060 1882004080 2823006120 5646012240