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139984248 = 233192107151
BaseRepresentation
bin10000101011111…
…11110101111000
3100202101221021210
420111333311320
5241313443443
621520203120
73316563225
oct1025776570
9322357253
10139984248
1172021268
123aa694a0
1323003121
141483c94c
15c451c33
hex857fd78

139984248 has 96 divisors (see below), whose sum is σ = 375269760. Its totient is φ = 43502400.

The previous prime is 139984241. The next prime is 139984253. The reversal of 139984248 is 842489931.

139984248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 139984197 and 139984206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139984241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926973 + ... + 927123.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 2139984248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139984248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187634880).

139984248 is an abundant number, since it is smaller than the sum of its proper divisors (235285512).

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

139984248 is a wasteful number, since it uses less digits than its factorization.

139984248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 139984248 is about 11831.4939039836. The cubic root of 139984248 is about 519.2299351292.

The spelling of 139984248 in words is "one hundred thirty-nine million, nine hundred eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 151 152 214 228 302 321 361 428 453 456 604 642 722 856 906 1083 1208 1284 1444 1812 2033 2166 2568 2869 2888 3624 4066 4332 5738 6099 8132 8607 8664 11476 12198 16157 16264 17214 22952 24396 32314 34428 38627 48471 48792 54511 64628 68856 77254 96942 109022 115881 129256 154508 163533 193884 218044 231762 306983 309016 327066 387768 436088 463524 613966 654132 920949 927048 1227932 1308264 1841898 2455864 3683796 5832677 7367592 11665354 17498031 23330708 34996062 46661416 69992124 139984248