Search a number
-
+
151833630 = 235131722901
BaseRepresentation
bin10010000110011…
…00110000011110
3101120200221120210
421003030300132
5302332134010
623022153250
73522364434
oct1103146036
9346627523
10151833630
1178784943
1242a22826
13255c16b0
1416244d54
15d4e2b20
hex90ccc1e

151833630 has 64 divisors (see below), whose sum is σ = 415533888. Its totient is φ = 35174400.

The previous prime is 151833599. The next prime is 151833673. The reversal of 151833630 is 36338151.

151833630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4821 + ... + 18080.

It is an arithmetic number, because the mean of its divisors is an integer number (6492717).

Almost surely, 2151833630 is an apocalyptic number.

151833630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151833630 is an abundant number, since it is smaller than the sum of its proper divisors (263700258).

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

151833630 is a wasteful number, since it uses less digits than its factorization.

151833630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22941.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 151833630 is about 12322.0789642008. The cubic root of 151833630 is about 533.4855472656.

The spelling of 151833630 in words is "one hundred fifty-one million, eight hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 22901 45802 68703 114505 137406 229010 297713 343515 389317 595426 687030 778634 893139 1167951 1488565 1786278 1946585 2335902 2977130 3893170 4465695 5061121 5839755 8931390 10122242 11679510 15183363 25305605 30366726 50611210 75916815 151833630