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151244080 = 24513413547
BaseRepresentation
bin10010000001111…
…00110100110000
3101112120222212121
421000330310300
5302204302310
623001404024
73514360561
oct1100746460
9345528777
10151244080
1178411a09
1242799614
1325446250
1416130168
15d4280da
hex903cd30

151244080 has 80 divisors (see below), whose sum is σ = 388037664. Its totient is φ = 54466560.

The previous prime is 151244069. The next prime is 151244083. The reversal of 151244080 is 80442151.

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

It is not an unprimeable number, because it can be changed into a prime (151244083) 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, 40867 + ... + 44413.

Almost surely, 2151244080 is an apocalyptic number.

151244080 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 151244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194018832).

151244080 is an abundant number, since it is smaller than the sum of its proper divisors (236793584).

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

151244080 is a wasteful number, since it uses less digits than its factorization.

151244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 151244080 is about 12298.1331916678. The cubic root of 151244080 is about 532.7941669260.

The spelling of 151244080 in words is "one hundred fifty-one million, two hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 3547 4264 5330 7094 8528 10660 14188 17735 21320 28376 35470 42640 46111 56752 70940 92222 141880 145427 184444 230555 283760 290854 368888 461110 581708 727135 737776 922220 1163416 1454270 1844440 1890551 2326832 2908540 3688880 3781102 5817080 7562204 9452755 11634160 15124408 18905510 30248816 37811020 75622040 151244080