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151039980 = 223257139221
BaseRepresentation
bin10010000000010…
…10111111101100
3101112012121220100
421000022333230
5302131234410
622553151100
73512550540
oct1100127754
9345177810
10151039980
1178292633
12426bb490
13253a4390
14160b9a20
15d3d78c0
hex900afec

151039980 has 144 divisors (see below), whose sum is σ = 563943744. Its totient is φ = 31864320.

The previous prime is 151039963. The next prime is 151039991. The reversal of 151039980 is 89930151.

It is a happy number.

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, 11770 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (3916276).

Almost surely, 2151039980 is an apocalyptic number.

151039980 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 151039980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281971872).

151039980 is an abundant number, since it is smaller than the sum of its proper divisors (412903764).

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

151039980 is a wasteful number, since it uses less digits than its factorization.

151039980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 151039980 is about 12289.8323829091. The cubic root of 151039980 is about 532.5543950252.

The spelling of 151039980 in words is "one hundred fifty-one million, thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 9221 16380 18442 27663 36884 46105 55326 64547 82989 92210 110652 119873 129094 138315 165978 184420 193641 239746 258188 276630 322735 331956 359619 387282 414945 479492 553260 580923 599365 645470 719238 774564 829890 839111 968205 1078857 1161846 1198730 1290940 1438476 1659780 1678222 1798095 1936410 2157714 2323692 2397460 2517333 2904615 3356444 3596190 3872820 4195555 4315428 5034666 5394285 5809230 7192380 7551999 8391110 10069332 10788570 11618460 12586665 15103998 16782220 21577140 25173330 30207996 37759995 50346660 75519990 151039980