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151906860 = 22335725741
BaseRepresentation
bin10010000110111…
…10101000101100
3101120211200001000
421003132220230
5302342004420
623023520300
73523121100
oct1103365054
9346750030
10151906860
1178824966
1242a59090
1325618b21
1416263900
15d509690
hex90dea2c

151906860 has 144 divisors (see below), whose sum is σ = 549853920. Its totient is φ = 34715520.

The previous prime is 151906847. The next prime is 151906873. The reversal of 151906860 is 68609151.

It is an interprime number because it is at equal distance from previous prime (151906847) and next prime (151906873).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23590 + ... + 29330.

It is an arithmetic number, because the mean of its divisors is an integer number (3818430).

Almost surely, 2151906860 is an apocalyptic number.

151906860 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 151906860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274926960).

151906860 is an abundant number, since it is smaller than the sum of its proper divisors (397947060).

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

151906860 is a wasteful number, since it uses less digits than its factorization.

151906860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 151906860 is about 12325.0501013180. The cubic root of 151906860 is about 533.5713009237.

The spelling of 151906860 in words is "one hundred fifty-one million, nine hundred six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 5741 6615 8820 11482 13230 17223 22964 26460 28705 34446 40187 51669 57410 68892 80374 86115 103338 114820 120561 155007 160748 172230 200935 206676 241122 258345 281309 310014 344460 361683 401870 482244 516690 562618 602805 620028 723366 775035 803740 843927 1033380 1085049 1125236 1205610 1406545 1446732 1550070 1687854 1808415 2170098 2411220 2531781 2813090 3100140 3375708 3616830 4219635 4340196 5063562 5425245 5626180 7233660 7595343 8439270 10127124 10850490 12658905 15190686 16878540 21700980 25317810 30381372 37976715 50635620 75953430 151906860