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151463440 = 24519251397
BaseRepresentation
bin10010000011100…
…10011000010000
3101120000010210001
421001302120100
5302233312230
623010215344
73516263242
oct1101623020
9346003701
10151463440
11785517a7
1242884554
13254c204b
141618a092
15d46d0ca
hex9072610

151463440 has 80 divisors (see below), whose sum is σ = 373101120. Its totient is φ = 57024000.

The previous prime is 151463423. The next prime is 151463479. The reversal of 151463440 is 44364151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 151463399 and 151463408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381322 + ... + 381718.

It is an arithmetic number, because the mean of its divisors is an integer number (4663764).

Almost surely, 2151463440 is an apocalyptic number.

151463440 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 151463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186550560).

151463440 is an abundant number, since it is smaller than the sum of its proper divisors (221637680).

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

151463440 is a wasteful number, since it uses less digits than its factorization.

151463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 151463440 is about 12307.0483870017. The cubic root of 151463440 is about 533.0516255331.

The spelling of 151463440 in words is "one hundred fifty-one million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 251 304 380 397 502 760 794 1004 1255 1520 1588 1985 2008 2510 3176 3970 4016 4769 5020 6352 7543 7940 9538 10040 15086 15880 19076 20080 23845 30172 31760 37715 38152 47690 60344 75430 76304 95380 99647 120688 150860 190760 199294 301720 381520 398588 498235 603440 797176 996470 1594352 1893293 1992940 3786586 3985880 7573172 7971760 9466465 15146344 18932930 30292688 37865860 75731720 151463440