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140553972 = 223213378117
BaseRepresentation
bin10000110000010…
…10111011110100
3100210110212210200
420120022323310
5241440211342
621540320500
73324455226
oct1030127364
9323425720
10140553972
1172380309
123b0a3130
1323172540
141494a416
15c51594c
hex860aef4

140553972 has 72 divisors (see below), whose sum is σ = 393008616. Its totient is φ = 42073344.

The previous prime is 140553953. The next prime is 140553983. The reversal of 140553972 is 279355041.

140553972 is a `hidden beast` number, since 14 + 0 + 553 + 97 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53056656 + 87497316 = 7284^2 + 9354^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13258 + ... + 21374.

It is an arithmetic number, because the mean of its divisors is an integer number (5458453).

Almost surely, 2140553972 is an apocalyptic number.

140553972 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 140553972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196504308).

140553972 is an abundant number, since it is smaller than the sum of its proper divisors (252454644).

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

140553972 is a wasteful number, since it uses less digits than its factorization.

140553972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 140553972 is about 11855.5460439408. The cubic root of 140553972 is about 519.9333889035.

The spelling of 140553972 in words is "one hundred forty million, five hundred fifty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8117 8658 16234 17316 24351 32468 48702 73053 97404 105521 146106 211042 292212 300329 316563 422084 600658 633126 900987 949689 1201316 1266252 1801974 1899378 2702961 3603948 3798756 3904277 5405922 7808554 10811844 11712831 15617108 23425662 35138493 46851324 70276986 140553972