Search a number
-
+
151064060 = 2257319261
BaseRepresentation
bin10010000000100…
…00110111111100
3101112020211221012
421000100313330
5302133022220
622553454352
73513011000
oct1100206774
9345224835
10151064060
11782a9734
12427113b8
13253b2324
14160c4700
15d3deac5
hex9010dfc

151064060 has 144 divisors (see below), whose sum is σ = 396849600. Its totient is φ = 48263040.

The previous prime is 151064047. The next prime is 151064101. The reversal of 151064060 is 60460151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2476430 + ... + 2476490.

It is an arithmetic number, because the mean of its divisors is an integer number (2755900).

Almost surely, 2151064060 is an apocalyptic number.

151064060 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 151064060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198424800).

151064060 is an abundant number, since it is smaller than the sum of its proper divisors (245785540).

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

151064060 is a wasteful number, since it uses less digits than its factorization.

151064060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 151064060 is about 12290.8120154854. The cubic root of 151064060 is about 532.5826948798.

The spelling of 151064060 in words is "one hundred fifty-one million, sixty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 61 70 76 95 98 122 133 140 190 196 244 245 266 305 343 361 380 427 490 532 610 665 686 722 854 931 980 1159 1220 1330 1372 1444 1708 1715 1805 1862 2135 2318 2527 2660 2989 3430 3610 3724 4270 4636 4655 5054 5795 5978 6517 6860 7220 8113 8540 9310 10108 11590 11956 12635 13034 14945 16226 17689 18620 20923 22021 23180 25270 26068 29890 32452 32585 35378 40565 41846 44042 50540 56791 59780 65170 70756 81130 83692 88084 88445 104615 110105 113582 123823 130340 154147 162260 176890 209230 220210 227164 247646 283955 308294 353780 397537 418460 440420 495292 567910 616588 619115 770735 795074 1079029 1135820 1238230 1541470 1590148 1987685 2158058 2476460 3082940 3975370 4316116 5395145 7553203 7950740 10790290 15106406 21580580 30212812 37766015 75532030 151064060