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138634530 = 23541269419
BaseRepresentation
bin10000100001101…
…10010100100010
3100122212100211020
420100312110202
5240442301110
621431230310
73302242206
oct1020662442
9318770736
10138634530
117128a1a1
123a518396
132294c988
14145aab06
15c286d70
hex8436522

138634530 has 64 divisors (see below), whose sum is σ = 342921600. Its totient is φ = 35847680.

The previous prime is 138634487. The next prime is 138634553. The reversal of 138634530 is 35436831.

138634530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 138634491 and 138634500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330661 + ... + 331079.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2138634530 is an apocalyptic number.

138634530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138634530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

138634530 is an abundant number, since it is smaller than the sum of its proper divisors (204287070).

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

138634530 is a wasteful number, since it uses less digits than its factorization.

138634530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 138634530 is about 11774.3165406745. The cubic root of 138634530 is about 517.5557502542. Note that the first 3 decimals are identical.

The spelling of 138634530 in words is "one hundred thirty-eight million, six hundred thirty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 269 410 419 538 615 807 838 1230 1257 1345 1614 2095 2514 2690 4035 4190 6285 8070 11029 12570 17179 22058 33087 34358 51537 55145 66174 85895 103074 110290 112711 165435 171790 225422 257685 330870 338133 515370 563555 676266 1127110 1690665 3381330 4621151 9242302 13863453 23105755 27726906 46211510 69317265 138634530