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138901554 = 23411233389
BaseRepresentation
bin10000100011101…
…11100000110010
3100200100221010000
420101313200302
5241024322204
621441050430
73304433541
oct1021674062
9320327100
10138901554
1171451880
123a626a16
1322a1438c
141463a158
15c2db039
hex8477832

138901554 has 80 divisors (see below), whose sum is σ = 354404160. Its totient is φ = 40249440.

The previous prime is 138901549. The next prime is 138901559. The reversal of 138901554 is 455109831.

138901554 is a `hidden beast` number, since 13 + 8 + 90 + 1 + 554 = 666.

It is an interprime number because it is at equal distance from previous prime (138901549) and next prime (138901559).

It is a super-2 number, since 2×1389015542 = 38587283407229832, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138901559) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39292 + ... + 42680.

It is an arithmetic number, because the mean of its divisors is an integer number (4430052).

Almost surely, 2138901554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138901554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177202080).

138901554 is an abundant number, since it is smaller than the sum of its proper divisors (215502606).

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

138901554 is a wasteful number, since it uses less digits than its factorization.

138901554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 138901554 is about 11785.6503426837. The cubic root of 138901554 is about 517.8878252252.

The spelling of 138901554 in words is "one hundred thirty-eight million, nine hundred one thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 2277 3389 3726 4554 6778 6831 10167 13662 20334 20493 30501 37279 40986 61002 74558 77947 91503 111837 155894 183006 223674 233841 274509 335511 467682 549018 671022 701523 857417 1006533 1403046 1714834 2013066 2104569 2572251 3019599 4209138 5144502 6039198 6313707 7716753 12627414 15433506 23150259 46300518 69450777 138901554