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140779152 = 24323732621
BaseRepresentation
bin10000110010000…
…01111010010000
3100210220022200200
420121001322100
5242014413102
621545215200
73326413563
oct1031017220
9323808620
10140779152
1172514508
123b191500
1323220b97
14149a84da
15c55c51c
hex8641e90

140779152 has 60 divisors (see below), whose sum is σ = 395193084. Its totient is φ = 46782720.

The previous prime is 140779141. The next prime is 140779157. The reversal of 140779152 is 251977041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97535376 + 43243776 = 9876^2 + 6576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (140779157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52402 + ... + 55022.

Almost surely, 2140779152 is an apocalyptic number.

140779152 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 140779152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197596542).

140779152 is an abundant number, since it is smaller than the sum of its proper divisors (254413932).

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

140779152 is a wasteful number, since it uses less digits than its factorization.

140779152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 140779152 is about 11865.0390644110. The cubic root of 140779152 is about 520.2109006450.

The spelling of 140779152 in words is "one hundred forty million, seven hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 1119 1492 2238 2621 2984 3357 4476 5242 5968 6714 7863 8952 10484 13428 15726 17904 20968 23589 26856 31452 41936 47178 53712 62904 94356 125808 188712 377424 977633 1955266 2932899 3910532 5865798 7821064 8798697 11731596 15642128 17597394 23463192 35194788 46926384 70389576 140779152