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139185540 = 22355132203
BaseRepresentation
bin10000100101111…
…00110110000100
3100200220100200000
420102330312010
5241112414130
621451121300
73310025514
oct1022746604
9320810600
10139185540
117162617a
123a743230
1322ab3710
14146b1844
15c345260
hex84bcd84

139185540 has 144 divisors (see below), whose sum is σ = 471726528. Its totient is φ = 34245504.

The previous prime is 139185533. The next prime is 139185551. The reversal of 139185540 is 45581931.

139185540 is a `hidden beast` number, since 1 + 39 + 1 + 85 + 540 = 666.

It is a super-2 number, since 2×1391855402 = 38745229090183200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 139185495 and 139185504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62079 + ... + 64281.

Almost surely, 2139185540 is an apocalyptic number.

139185540 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 139185540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235863264).

139185540 is an abundant number, since it is smaller than the sum of its proper divisors (332540988).

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

139185540 is a wasteful number, since it uses less digits than its factorization.

139185540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 139185540 is about 11797.6921471956. The cubic root of 139185540 is about 518.2405277222.

The spelling of 139185540 in words is "one hundred thirty-nine million, one hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2203 2340 2430 3159 3510 4212 4406 4860 5265 6318 6609 7020 8812 10530 11015 12636 13218 15795 19827 21060 22030 26436 28639 31590 33045 39654 44060 57278 59481 63180 66090 79308 85917 99135 114556 118962 132180 143195 171834 178443 198270 237924 257751 286390 297405 343668 356886 396540 429585 515502 535329 572780 594810 713772 773253 859170 892215 1031004 1070658 1189620 1288755 1546506 1718340 1784430 2141316 2319759 2577510 2676645 3093012 3568860 3866265 4639518 5155020 5353290 6959277 7732530 9279036 10706580 11598795 13918554 15465060 23197590 27837108 34796385 46395180 69592770 139185540