Search a number
-
+
139741920 = 25325531831
BaseRepresentation
bin10000101010001…
…00101011100000
3100201221121212200
420111010223200
5241233220140
621511053200
73314533563
oct1025045340
9321847780
10139741920
117197619a
123a971200
1322c49a36
14147b84da
15c405030
hex8544ae0

139741920 has 144 divisors (see below), whose sum is σ = 486132192. Its totient is φ = 36541440.

The previous prime is 139741919. The next prime is 139741957. The reversal of 139741920 is 29147931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 75405 + ... + 77235.

It is an arithmetic number, because the mean of its divisors is an integer number (3375918).

Almost surely, 2139741920 is an apocalyptic number.

139741920 is a gapful number since it is divisible by the number (10) 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 139741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243066096).

139741920 is an abundant number, since it is smaller than the sum of its proper divisors (346390272).

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

139741920 is a wasteful number, since it uses less digits than its factorization.

139741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 139741920 is about 11821.2486650100. The cubic root of 139741920 is about 518.9301475259.

The spelling of 139741920 in words is "one hundred thirty-nine million, seven hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1831 1908 2120 2385 2544 3180 3662 3816 4240 4770 5088 5493 6360 7324 7632 8480 9155 9540 10986 12720 14648 15264 16479 18310 19080 21972 25440 27465 29296 32958 36620 38160 43944 54930 58592 65916 73240 76320 82395 87888 97043 109860 131832 146480 164790 175776 194086 219720 263664 291129 292960 329580 388172 439440 485215 527328 582258 659160 776344 873387 878880 970430 1164516 1318320 1455645 1552688 1746774 1940860 2329032 2636640 2911290 3105376 3493548 3881720 4366935 4658064 5822580 6987096 7763440 8733870 9316128 11645160 13974192 15526880 17467740 23290320 27948384 34935480 46580640 69870960 139741920