Search a number
-
+
148936960 = 285235059
BaseRepresentation
bin10001110000010…
…01100100000000
3101101020210002201
420320021210000
5301111440320
622440122544
73455641354
oct1070114400
9341223081
10148936960
11770865a7
1241a66454
1324b190a3
1415acd464
15d11e70a
hex8e09900

148936960 has 72 divisors (see below), whose sum is σ = 372335040. Its totient is φ = 56973312.

The previous prime is 148936939. The next prime is 148936999. The reversal of 148936960 is 69639841.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 148936960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26911 + ... + 31969.

It is an arithmetic number, because the mean of its divisors is an integer number (5171320).

Almost surely, 2148936960 is an apocalyptic number.

148936960 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 148936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186167520).

148936960 is an abundant number, since it is smaller than the sum of its proper divisors (223398080).

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

148936960 is an equidigital number, since it uses as much as digits as its factorization.

148936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 148936960 is about 12203.9731235364. The cubic root of 148936960 is about 530.0711426987.

The spelling of 148936960 in words is "one hundred forty-eight million, nine hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5059 5888 7360 10118 14720 20236 25295 29440 40472 50590 80944 101180 116357 161888 202360 232714 323776 404720 465428 581785 647552 809440 930856 1163570 1295104 1618880 1861712 2327140 3237760 3723424 4654280 6475520 7446848 9308560 14893696 18617120 29787392 37234240 74468480 148936960