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149085640 = 23511794289
BaseRepresentation
bin10001110001011…
…01110111001000
3101101112100001101
420320231313020
5301131220030
622443231144
73460131004
oct1070556710
9341470041
10149085640
1177178280
1241b184b4
1324b6b972
1415b2b704
15d14d7ca
hex8e2ddc8

149085640 has 64 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 53514240.

The previous prime is 149085619. The next prime is 149085649. The reversal of 149085640 is 46580941.

It is a happy number.

149085640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149085640.

It is not an unprimeable number, because it can be changed into a prime (149085649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32616 + ... + 36904.

It is an arithmetic number, because the mean of its divisors is an integer number (5791500).

Almost surely, 2149085640 is an apocalyptic number.

149085640 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 149085640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185328000).

149085640 is an abundant number, since it is smaller than the sum of its proper divisors (221570360).

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

149085640 is a wasteful number, since it uses less digits than its factorization.

149085640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 149085640 is about 12210.0630629002. The cubic root of 149085640 is about 530.2474695756.

The spelling of 149085640 in words is "one hundred forty-nine million, eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4289 4345 6952 8578 8690 17156 17380 21445 34312 34760 42890 47179 85780 94358 171560 188716 235895 338831 377432 471790 677662 943580 1355324 1694155 1887160 2710648 3388310 3727141 6776620 7454282 13553240 14908564 18635705 29817128 37271410 74542820 149085640