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138154560 = 2635236257
BaseRepresentation
bin10000011110000…
…01001001000000
3100121221222102120
420033001021000
5240331421220
621413044240
73265202655
oct1017011100
9317858376
10138154560
1170a91625
123a326680
132281237b
14144c3c2c
15c1dea40
hex83c1240

138154560 has 112 divisors (see below), whose sum is σ = 457785216. Its totient is φ = 35233792.

The previous prime is 138154547. The next prime is 138154609. The reversal of 138154560 is 65451831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18952 + ... + 25208.

It is an arithmetic number, because the mean of its divisors is an integer number (4087368).

Almost surely, 2138154560 is an apocalyptic number.

138154560 is a gapful number since it is divisible by the number (10) 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 138154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228892608).

138154560 is an abundant number, since it is smaller than the sum of its proper divisors (319630656).

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

138154560 is a wasteful number, since it uses less digits than its factorization.

138154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 138154560 is about 11753.9167939883. The cubic root of 138154560 is about 516.9577788277.

The spelling of 138154560 in words is "one hundred thirty-eight million, one hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 6257 7360 11040 12514 18771 22080 25028 31285 37542 50056 62570 75084 93855 100112 125140 143911 150168 187710 200224 250280 287822 300336 375420 400448 431733 500560 575644 600672 719555 750840 863466 1001120 1151288 1201344 1439110 1501680 1726932 2002240 2158665 2302576 2878220 3003360 3453864 4317330 4605152 5756440 6006720 6907728 8634660 9210304 11512880 13815456 17269320 23025760 27630912 34538640 46051520 69077280 138154560