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139803552 = 25327312237
BaseRepresentation
bin10000101010100…
…11101110100000
3100202001202102100
420111103232200
5241242203202
621512250400
73315211350
oct1025235640
9322052370
10139803552
1171a08529
123a9a0a00
1322c6bac5
14147d2b60
15c41841c
hex8553ba0

139803552 has 144 divisors (see below), whose sum is σ = 469228032. Its totient is φ = 38638080.

The previous prime is 139803551. The next prime is 139803553. The reversal of 139803552 is 255308931.

139803552 is a `hidden beast` number, since 13 + 98 + 0 + 3 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (139803551) and next prime (139803553).

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 not an unprimeable number, because it can be changed into a prime (139803551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61378 + ... + 63614.

It is an arithmetic number, because the mean of its divisors is an integer number (3258528).

Almost surely, 2139803552 is an apocalyptic number.

139803552 is a gapful number since it is divisible by the number (12) 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 139803552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234614016).

139803552 is an abundant number, since it is smaller than the sum of its proper divisors (329424480).

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

139803552 is a wasteful number, since it uses less digits than its factorization.

139803552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 139803552 is about 11823.8552088564. The cubic root of 139803552 is about 519.0064262405.

The spelling of 139803552 in words is "one hundred thirty-nine million, eight hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2237 2604 2976 3472 3906 4464 4474 5208 6711 6944 7812 8928 8948 10416 13422 15624 15659 17896 20133 20832 26844 31248 31318 35792 40266 46977 53688 62496 62636 69347 71584 80532 93954 107376 125272 138694 140931 161064 187908 208041 214752 250544 277388 281862 322128 375816 416082 485429 501088 554776 563724 624123 644256 751632 832164 970858 1109552 1127448 1248246 1456287 1503264 1664328 1941716 2219104 2254896 2496492 2912574 3328656 3883432 4368861 4509792 4992984 5825148 6657312 7766864 8737722 9985968 11650296 15533728 17475444 19971936 23300592 34950888 46601184 69901776 139803552