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151553040 = 2435631471
BaseRepresentation
bin10010000100010…
…00010000010000
3101120011200200120
421002020100100
5302244144130
623012150240
73520115412
oct1102102020
9346150616
10151553040
1178603051
1242908380
1325523a72
14161b09b2
15d489910
hex9088410

151553040 has 40 divisors (see below), whose sum is σ = 469815168. Its totient is φ = 40414080.

The previous prime is 151553029. The next prime is 151553041. The reversal of 151553040 is 40355151.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 151553040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151553041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315496 + ... + 315975.

Almost surely, 2151553040 is an apocalyptic number.

151553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151553040 is an abundant number, since it is smaller than the sum of its proper divisors (318262128).

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

151553040 is a wasteful number, since it uses less digits than its factorization.

151553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631487 (or 631481 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 151553040 is about 12310.6880392608. The cubic root of 151553040 is about 533.1567158237.

The spelling of 151553040 in words is "one hundred fifty-one million, five hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631471 1262942 1894413 2525884 3157355 3788826 5051768 6314710 7577652 9472065 10103536 12629420 15155304 18944130 25258840 30310608 37888260 50517680 75776520 151553040