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149976840 = 233513127757
BaseRepresentation
bin10001111000001…
…11011100001000
3101110012121112210
420330013130020
5301343224330
622514305120
73500532156
oct1074073410
9343177483
10149976840
1177726902
12422881a0
13250c14c0
1415cc03d6
15d2778b0
hex8f07708

149976840 has 128 divisors (see below), whose sum is σ = 489000960. Its totient is φ = 36578304.

The previous prime is 149976793. The next prime is 149976881. The reversal of 149976840 is 48679941.

It is a self number, because there is not a number n which added to its sum of digits gives 149976840.

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, 197742 + ... + 198498.

It is an arithmetic number, because the mean of its divisors is an integer number (3820320).

Almost surely, 2149976840 is an apocalyptic number.

149976840 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 149976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244500480).

149976840 is an abundant number, since it is smaller than the sum of its proper divisors (339024120).

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

149976840 is a wasteful number, since it uses less digits than its factorization.

149976840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 149976840 is about 12246.5031743759. The cubic root of 149976840 is about 531.3019374366.

The spelling of 149976840 in words is "one hundred forty-nine million, nine hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 127 130 156 195 254 260 312 381 390 508 520 635 757 762 780 1016 1270 1514 1524 1560 1651 1905 2271 2540 3028 3048 3302 3785 3810 4542 4953 5080 6056 6604 7570 7620 8255 9084 9841 9906 11355 13208 15140 15240 16510 18168 19682 19812 22710 24765 29523 30280 33020 39364 39624 45420 49205 49530 59046 66040 78728 90840 96139 98410 99060 118092 147615 192278 196820 198120 236184 288417 295230 384556 393640 480695 576834 590460 769112 961390 1153668 1180920 1249807 1442085 1922780 2307336 2499614 2884170 3749421 3845560 4999228 5768340 6249035 7498842 9998456 11536680 12498070 14997684 18747105 24996140 29995368 37494210 49992280 74988420 149976840