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151928240 = 24510118803
BaseRepresentation
bin10010000111000…
…11110110110000
3101120212202100212
421003203312300
5302343200430
623024203252
73523240322
oct1103436660
9346782325
10151928240
1178839a32
1242a69528
1325625789
141626b612
15d510b95
hex90e3db0

151928240 has 40 divisors (see below), whose sum is σ = 356749488. Its totient is φ = 60166400.

The previous prime is 151928239. The next prime is 151928281. The reversal of 151928240 is 42829151.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 151928197 and 151928206.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1322 + ... + 17481.

Almost surely, 2151928240 is an apocalyptic number.

151928240 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 151928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178374744).

151928240 is an abundant number, since it is smaller than the sum of its proper divisors (204821248).

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

151928240 is a wasteful number, since it uses less digits than its factorization.

151928240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917 (or 18911 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 151928240 is about 12325.9174100754. The cubic root of 151928240 is about 533.5963320936.

It can be divided in two parts, 15192 and 8240, that added together give a palindrome (23432).

The spelling of 151928240 in words is "one hundred fifty-one million, nine hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 18803 37606 75212 94015 150424 188030 300848 376060 752120 1504240 1899103 3798206 7596412 9495515 15192824 18991030 30385648 37982060 75964120 151928240