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138942744 = 23319319829
BaseRepresentation
bin10000100100000…
…01100100011000
3100200110000121120
420102001210120
5241032131434
621442005240
73304664613
oct1022014430
9320400546
10138942744
117147a816
123a646820
1322a2a055
141464b17a
15c2e8349
hex8481918

138942744 has 64 divisors (see below), whose sum is σ = 377472000. Its totient is φ = 42456960.

The previous prime is 138942743. The next prime is 138942767. The reversal of 138942744 is 447249831.

It is a super-2 number, since 2×1389427442 = 38610172220499072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138942696 and 138942705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138942743) 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, 9222 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (5898000).

Almost surely, 2138942744 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 138942744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188736000).

138942744 is an abundant number, since it is smaller than the sum of its proper divisors (238529256).

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

138942744 is a wasteful number, since it uses less digits than its factorization.

138942744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9888 (or 9884 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 138942744 is about 11787.3976771805. The cubic root of 138942744 is about 517.9390118166.

The spelling of 138942744 in words is "one hundred thirty-eight million, nine hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 9829 14136 19658 29487 39316 58974 78632 117948 186751 235896 304699 373502 560253 609398 747004 914097 1120506 1218796 1494008 1828194 2241012 2437592 3656388 4482024 5789281 7312776 11578562 17367843 23157124 34735686 46314248 69471372 138942744