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136904880 = 24357194289
BaseRepresentation
bin10000010100100…
…00000010110000
3100112121111012010
420022100002300
5240021424010
621330202520
73251446410
oct1012200260
9315544163
10136904880
1170308732
1239a23440
1322495608
141427a640
15c044620
hex82900b0

136904880 has 160 divisors (see below), whose sum is σ = 510681600. Its totient is φ = 29638656.

The previous prime is 136904851. The next prime is 136904891. The reversal of 136904880 is 88409631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29776 + ... + 34064.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2136904880 is an apocalyptic number.

136904880 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 136904880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255340800).

136904880 is an abundant number, since it is smaller than the sum of its proper divisors (373776720).

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

136904880 is a wasteful number, since it uses less digits than its factorization.

136904880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 136904880 is about 11700.6358801563. The cubic root of 136904880 is about 515.3943377481.

The spelling of 136904880 in words is "one hundred thirty-six million, nine hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4289 4560 5320 6384 7980 8578 10640 12867 15960 17156 21445 25734 30023 31920 34312 42890 51468 60046 64335 68624 81491 85780 90069 102936 120092 128670 150115 162982 171560 180138 205872 240184 244473 257340 300230 325964 343120 360276 407455 450345 480368 488946 514680 570437 600460 651928 720552 814910 900690 977892 1029360 1140874 1200920 1222365 1303856 1441104 1629820 1711311 1801380 1955784 2281748 2401840 2444730 2852185 3259640 3422622 3602760 3911568 4563496 4889460 5704370 6519280 6845244 7205520 8556555 9126992 9778920 11408740 13690488 17113110 19557840 22817480 27380976 34226220 45634960 68452440 136904880