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140199552 = 2733113359
BaseRepresentation
bin10000101101101…
…00011010000000
3100202210212122000
420112310122000
5241342341202
621524544000
73321451023
oct1026643200
9322725560
10140199552
1172158aa9
123ab52000
132307a11c
14148971ba
15c49591c
hex85b4680

140199552 has 128 divisors (see below), whose sum is σ = 418608000. Its totient is φ = 46190592.

The previous prime is 140199547. The next prime is 140199569. The reversal of 140199552 is 255991041.

140199552 is a `hidden beast` number, since 14 + 0 + 1 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 390349 + ... + 390707.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2140199552 is an apocalyptic number.

140199552 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 140199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000).

140199552 is an abundant number, since it is smaller than the sum of its proper divisors (278408448).

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

140199552 is a wasteful number, since it uses less digits than its factorization.

140199552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 140199552 is about 11840.5891745301. The cubic root of 140199552 is about 519.4960008190.

The spelling of 140199552 in words is "one hundred forty million, one hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 288 339 359 384 432 452 576 678 718 864 904 1017 1077 1152 1356 1436 1728 1808 2034 2154 2712 2872 3051 3231 3456 3616 4068 4308 5424 5744 6102 6462 7232 8136 8616 9693 10848 11488 12204 12924 14464 16272 17232 19386 21696 22976 24408 25848 32544 34464 38772 40567 43392 45952 48816 51696 65088 68928 77544 81134 97632 103392 121701 130176 137856 155088 162268 195264 206784 243402 310176 324536 365103 390528 413568 486804 620352 649072 730206 973608 1095309 1240704 1298144 1460412 1947216 2190618 2596288 2920824 3894432 4381236 5192576 5841648 7788864 8762472 11683296 15577728 17524944 23366592 35049888 46733184 70099776 140199552