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151348440 = 23351279931
BaseRepresentation
bin10010000010101…
…10010011011000
3101112210022000210
421001112103120
5302221122230
623003531120
73515304045
oct1101262330
9345708023
10151348440
1178483361
1242829aa0
13254818b9
141615a1cc
15d448eb0
hex90564d8

151348440 has 64 divisors (see below), whose sum is σ = 457666560. Its totient is φ = 40037760.

The previous prime is 151348429. The next prime is 151348447. The reversal of 151348440 is 44843151.

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

It is a junction number, because it is equal to n+sod(n) for n = 151348398 and 151348407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151348447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10275 + ... + 20205.

It is an arithmetic number, because the mean of its divisors is an integer number (7151040).

Almost surely, 2151348440 is an apocalyptic number.

151348440 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 151348440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228833280).

151348440 is an abundant number, since it is smaller than the sum of its proper divisors (306318120).

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

151348440 is a wasteful number, since it uses less digits than its factorization.

151348440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 151348440 is about 12302.3753803889. The cubic root of 151348440 is about 532.9166832704.

The spelling of 151348440 in words is "one hundred fifty-one million, three hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 9931 15240 19862 29793 39724 49655 59586 79448 99310 119172 148965 198620 238344 297930 397240 595860 1191720 1261237 2522474 3783711 5044948 6306185 7567422 10089896 12612370 15134844 18918555 25224740 30269688 37837110 50449480 75674220 151348440