Search a number
-
+
140637696 = 293196179
BaseRepresentation
bin10000110000111…
…11011000000000
3100210122010122120
420120133120000
5242000401241
621542204240
73325254303
oct1030373000
9323563576
10140637696
1172428201
123b123680
13231a1694
141496cb3a
15c530666
hex861f600

140637696 has 160 divisors (see below), whose sum is σ = 405926400. Its totient is φ = 43130880.

The previous prime is 140637689. The next prime is 140637701. The reversal of 140637696 is 696736041.

140637696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1780185 + ... + 1780263.

It is an arithmetic number, because the mean of its divisors is an integer number (2537040).

Almost surely, 2140637696 is an apocalyptic number.

140637696 is a gapful number since it is divisible by the number (16) 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 140637696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202963200).

140637696 is an abundant number, since it is smaller than the sum of its proper divisors (265288704).

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

140637696 is an equidigital number, since it uses as much as digits as its factorization.

140637696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 140637696 is about 11859.0765239120. The cubic root of 140637696 is about 520.0366049182.

The spelling of 140637696 in words is "one hundred forty million, six hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 79 96 114 122 128 152 158 183 192 228 237 244 256 304 316 366 384 456 474 488 512 608 632 732 768 912 948 976 1159 1216 1264 1464 1501 1536 1824 1896 1952 2318 2432 2528 2928 3002 3477 3648 3792 3904 4503 4636 4819 4864 5056 5856 6004 6954 7296 7584 7808 9006 9272 9638 9728 10112 11712 12008 13908 14457 14592 15168 15616 18012 18544 19276 20224 23424 24016 27816 28914 29184 30336 31232 36024 37088 38552 40448 46848 48032 55632 57828 60672 72048 74176 77104 91561 93696 96064 111264 115656 121344 144096 148352 154208 183122 192128 222528 231312 274683 288192 296704 308416 366244 384256 445056 462624 549366 576384 593408 616832 732488 768512 890112 925248 1098732 1152768 1233664 1464976 1780224 1850496 2197464 2305536 2467328 2929952 3700992 4394928 5859904 7401984 8789856 11719808 17579712 23439616 35159424 46879232 70318848 140637696