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149100560 = 24571811471
BaseRepresentation
bin10001110001100…
…01100000010000
3101101120002111222
420320301200100
5301132204220
622443424212
73460222340
oct1070614020
9341502458
10149100560
1177188504
1241b25068
1324b756ab
1415b32d20
15d152e25
hex8e31810

149100560 has 80 divisors (see below), whose sum is σ = 398641152. Its totient is φ = 50803200.

The previous prime is 149100533. The next prime is 149100577. The reversal of 149100560 is 65001941.

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

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, 100625 + ... + 102095.

Almost surely, 2149100560 is an apocalyptic number.

149100560 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 149100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199320576).

149100560 is an abundant number, since it is smaller than the sum of its proper divisors (249540592).

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

149100560 is a wasteful number, since it uses less digits than its factorization.

149100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 149100560 is about 12210.6740190704. The cubic root of 149100560 is about 530.2651574592.

The spelling of 149100560 in words is "one hundred forty-nine million, one hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 181 280 362 560 724 905 1267 1448 1471 1810 2534 2896 2942 3620 5068 5884 6335 7240 7355 10136 10297 11768 12670 14480 14710 20272 20594 23536 25340 29420 41188 50680 51485 58840 82376 101360 102970 117680 164752 205940 266251 411880 532502 823760 1065004 1331255 1863757 2130008 2662510 3727514 4260016 5325020 7455028 9318785 10650040 14910056 18637570 21300080 29820112 37275140 74550280 149100560