Search a number
-
+
151121320 = 23572937503
BaseRepresentation
bin10010000000111…
…10110110101000
3101112100202110221
421000132312220
5302141340240
622555015424
73513336640
oct1100366650
9345322427
10151121320
1178338759
124273a574
13254023cc
14160db520
15d401a4a
hex901eda8

151121320 has 128 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 48577536.

The previous prime is 151121303. The next prime is 151121329. The reversal of 151121320 is 23121151.

It is a junction number, because it is equal to n+sod(n) for n = 151121294 and 151121303.

It is not an unprimeable number, because it can be changed into a prime (151121329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300189 + ... + 300691.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2151121320 is an apocalyptic number.

151121320 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 151121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

151121320 is an abundant number, since it is smaller than the sum of its proper divisors (262561880).

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

151121320 is a wasteful number, since it uses less digits than its factorization.

151121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 151121320 is about 12293.1411770955. The cubic root of 151121320 is about 532.6499772253.

Adding to 151121320 its reverse (23121151), we get a palindrome (174242471).

The spelling of 151121320 in words is "one hundred fifty-one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 37 40 56 58 70 74 116 140 145 148 185 203 232 259 280 290 296 370 406 503 518 580 740 812 1006 1015 1036 1073 1160 1295 1480 1624 2012 2030 2072 2146 2515 2590 3521 4024 4060 4292 5030 5180 5365 7042 7511 8120 8584 10060 10360 10730 14084 14587 15022 17605 18611 20120 21460 28168 29174 30044 35210 37222 37555 42920 58348 60088 70420 72935 74444 75110 93055 102109 116696 130277 140840 145870 148888 150220 186110 204218 260554 291740 300440 372220 408436 510545 521108 539719 583480 651385 744440 816872 1021090 1042216 1079438 1302770 2042180 2158876 2605540 2698595 3778033 4084360 4317752 5211080 5397190 7556066 10794380 15112132 18890165 21588760 30224264 37780330 75560660 151121320