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151372540 = 225111136089
BaseRepresentation
bin10010000010111…
…00001011111100
3101112211112002101
421001130023330
5302222410130
623004234444
73515434234
oct1101341374
9345745071
10151372540
117849a480
124283ba24
132548c867
1416164cc4
15d4511ca
hex905c2fc

151372540 has 48 divisors (see below), whose sum is σ = 349907040. Its totient is φ = 54548480.

The previous prime is 151372531. The next prime is 151372553. The reversal of 151372540 is 45273151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 151372499 and 151372508.

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 15 ways as a sum of consecutive naturals, for example, 21816 + ... + 27904.

It is an arithmetic number, because the mean of its divisors is an integer number (7289730).

Almost surely, 2151372540 is an apocalyptic number.

151372540 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 151372540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174953520).

151372540 is an abundant number, since it is smaller than the sum of its proper divisors (198534500).

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

151372540 is a wasteful number, since it uses less digits than its factorization.

151372540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 151372540 is about 12303.3548270380. The cubic root of 151372540 is about 532.9449681351.

The spelling of 151372540 in words is "one hundred fifty-one million, three hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6089 6215 12178 12430 24356 24860 30445 60890 66979 121780 133958 267916 334895 669790 688057 1339580 1376114 2752228 3440285 6880570 7568627 13761140 15137254 30274508 37843135 75686270 151372540