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139421952 = 283323877
BaseRepresentation
bin10000100111101…
…10100100000000
3100201100100222000
420103312210000
5241143000302
621500144000
73312031665
oct1023664400
9321310860
10139421952
117177785a
123a838000
1322b671c7
1414733a6c
15c39031c
hex84f6900

139421952 has 144 divisors (see below), whose sum is σ = 430711680. Its totient is φ = 44402688.

The previous prime is 139421951. The next prime is 139421969. The reversal of 139421952 is 259124931.

139421952 is a `hidden beast` number, since 1 + 394 + 219 + 52 = 666.

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 not an unprimeable number, because it can be changed into a prime (139421951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158538 + ... + 159414.

Almost surely, 2139421952 is an apocalyptic number.

139421952 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 139421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215355840).

139421952 is an abundant number, since it is smaller than the sum of its proper divisors (291289728).

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

139421952 is an equidigital number, since it uses as much as digits as its factorization.

139421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 905 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 139421952 is about 11807.7073134457. The cubic root of 139421952 is about 518.5337789170.

The spelling of 139421952 in words is "one hundred thirty-nine million, four hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 877 1104 1152 1242 1472 1656 1728 1754 2208 2304 2484 2631 2944 3312 3456 3508 4416 4968 5262 5888 6624 6912 7016 7893 8832 9936 10524 13248 14032 15786 17664 19872 20171 21048 23679 26496 28064 31572 39744 40342 42096 47358 52992 56128 60513 63144 79488 80684 84192 94716 112256 121026 126288 158976 161368 168384 181539 189432 224512 242052 252576 322736 336768 363078 378864 484104 505152 544617 645472 673536 726156 757728 968208 1010304 1089234 1290944 1452312 1515456 1936416 2020608 2178468 2581888 2904624 3030912 3872832 4356936 5163776 5809248 6061824 7745664 8713872 11618496 15491328 17427744 23236992 34855488 46473984 69710976 139421952