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149868120 = 23354183367
BaseRepresentation
bin10001110111011…
…00111001011000
3101110000002102010
420323230321120
5301331234440
622512105520
73466600203
oct1073547130
9343002363
10149868120
1177662156
12422352a0
1325083b7c
1415c9293a
15d255580
hex8eece58

149868120 has 128 divisors (see below), whose sum is σ = 467389440. Its totient is φ = 38415360.

The previous prime is 149868119. The next prime is 149868137. The reversal of 149868120 is 21868941.

It is a congruent number.

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, 408177 + ... + 408543.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2149868120 is an apocalyptic number.

149868120 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 149868120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233694720).

149868120 is an abundant number, since it is smaller than the sum of its proper divisors (317521320).

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

149868120 is a wasteful number, since it uses less digits than its factorization.

149868120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 149868120 is about 12242.0635515423. The cubic root of 149868120 is about 531.1735240318.

The spelling of 149868120 in words is "one hundred forty-nine million, eight hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 83 120 123 164 166 205 246 249 328 332 367 410 415 492 498 615 664 734 820 830 984 996 1101 1230 1245 1468 1640 1660 1835 1992 2202 2460 2490 2936 3320 3403 3670 4404 4920 4980 5505 6806 7340 8808 9960 10209 11010 13612 14680 15047 17015 20418 22020 27224 30094 30461 34030 40836 44040 45141 51045 60188 60922 68060 75235 81672 90282 91383 102090 120376 121844 136120 150470 152305 180564 182766 204180 225705 243688 300940 304610 361128 365532 408360 451410 456915 601880 609220 731064 902820 913830 1218440 1248901 1805640 1827660 2497802 3655320 3746703 4995604 6244505 7493406 9991208 12489010 14986812 18733515 24978020 29973624 37467030 49956040 74934060 149868120