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645440136 = 233112376007
BaseRepresentation
bin100110011110001…
…010001010001000
31122222111202102020
4212132022022020
52310213041021
6144014004440
721665102445
oct4636121210
91588452366
10645440136
11301374800
121601a6720
13a3948653
1461a149cc
153b9e67c6
hex2678a288

645440136 has 96 divisors (see below), whose sum is σ = 1821865920. Its totient is φ = 190270080.

The previous prime is 645440129. The next prime is 645440141. The reversal of 645440136 is 631044546.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 645440097 and 645440106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104445 + ... + 110451.

It is an arithmetic number, because the mean of its divisors is an integer number (18977770).

Almost surely, 2645440136 is an apocalyptic number.

645440136 is a gapful number since it is divisible by the number (66) 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 645440136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910932960).

645440136 is an abundant number, since it is smaller than the sum of its proper divisors (1176425784).

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

645440136 is a wasteful number, since it uses less digits than its factorization.

645440136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 645440136 is about 25405.5138897051. The cubic root of 645440136 is about 864.2087437161.

The spelling of 645440136 in words is "six hundred forty-five million, four hundred forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 6007 8954 9768 12014 13431 17908 18021 24028 26862 35816 36042 48056 53724 66077 72084 107448 132154 144168 198231 222259 264308 396462 444518 528616 666777 726847 792924 889036 1333554 1453694 1585848 1778072 2180541 2444849 2667108 2907388 4361082 4889698 5334216 5814776 7334547 8722164 9779396 14669094 17444328 19558792 26893339 29338188 53786678 58676376 80680017 107573356 161360034 215146712 322720068 645440136