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139977252 = 223217331691
BaseRepresentation
bin10000101011111…
…10001000100100
3100202101120200200
420111332020210
5241313233002
621520110500
73316533642
oct1025761044
9322346620
10139977252
1172016a88
123aa65430
1322cccb9c
141483a192
15c44eb1c
hex857e224

139977252 has 72 divisors (see below), whose sum is σ = 376320672. Its totient is φ = 43718400.

The previous prime is 139977251. The next prime is 139977283. The reversal of 139977252 is 252779931.

139977252 is a `hidden beast` number, since 1 + 399 + 7 + 7 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 139977198 and 139977207.

It is not an unprimeable number, because it can be changed into a prime (139977251) 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, 202227 + ... + 202917.

It is an arithmetic number, because the mean of its divisors is an integer number (5226676).

Almost surely, 2139977252 is an apocalyptic number.

139977252 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 139977252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160336).

139977252 is an abundant number, since it is smaller than the sum of its proper divisors (236343420).

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

139977252 is a wasteful number, since it uses less digits than its factorization.

139977252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1044 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 139977252 is about 11831.1982486982. The cubic root of 139977252 is about 519.2212851246.

The spelling of 139977252 in words is "one hundred thirty-nine million, nine hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 331 612 662 691 993 1324 1382 1986 2073 2764 2979 3972 4146 5627 5958 6219 8292 11254 11747 11916 12438 16881 22508 23494 24876 33762 35241 46988 50643 67524 70482 101286 105723 140964 202572 211446 228721 422892 457442 686163 914884 1372326 2058489 2744652 3888257 4116978 7776514 8233956 11664771 15553028 23329542 34994313 46659084 69988626 139977252