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149011440 = 24351933217
BaseRepresentation
bin10001110000110…
…11101111110000
3101101101120021020
420320123233300
5301121331230
622441455440
73456401454
oct1070335760
9341346236
10149011440
1177127556
1241aa1580
1324b43c66
1415b0c664
15d136810
hex8e1bbf0

149011440 has 80 divisors (see below), whose sum is σ = 464473248. Its totient is φ = 39518208.

The previous prime is 149011381. The next prime is 149011453. The reversal of 149011440 is 44110941.

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

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 149011440.

It is a congruent number.

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, 44712 + ... + 47928.

Almost surely, 2149011440 is an apocalyptic number.

149011440 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 149011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232236624).

149011440 is an abundant number, since it is smaller than the sum of its proper divisors (315461808).

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

149011440 is a wasteful number, since it uses less digits than its factorization.

149011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 149011440 is about 12207.0242073980. The cubic root of 149011440 is about 530.1594868312.

The spelling of 149011440 in words is "one hundred forty-nine million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1930 2316 2895 3088 3217 3860 4632 5790 6434 7720 9264 9651 11580 12868 15440 16085 19302 23160 25736 32170 38604 46320 48255 51472 64340 77208 96510 128680 154416 193020 257360 386040 620881 772080 1241762 1862643 2483524 3104405 3725286 4967048 6208810 7450572 9313215 9934096 12417620 14901144 18626430 24835240 29802288 37252860 49670480 74505720 149011440