Search a number
-
+
148965300 = 2232521141367
BaseRepresentation
bin10001110000100…
…00011110110100
3101101022012222100
420320100132310
5301113342200
622440502100
73456120111
oct1070203664
9341265870
10148965300
11770a5920
1241a7a930
1324b28c63
1415ad9908
15d127d00
hex8e107b4

148965300 has 216 divisors, whose sum is σ = 523216512. Its totient is φ = 35136000.

The previous prime is 148965277. The next prime is 148965307. The reversal of 148965300 is 3569841.

148965300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

148965300 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148965307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405717 + ... + 406083.

Almost surely, 2148965300 is an apocalyptic number.

148965300 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 148965300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261608256).

148965300 is an abundant number, since it is smaller than the sum of its proper divisors (374251212).

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

148965300 is a wasteful number, since it uses less digits than its factorization.

148965300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 148965300 is about 12205.1341655879. The cubic root of 148965300 is about 530.1047615387.

The spelling of 148965300 in words is "one hundred forty-eight million, nine hundred sixty-five thousand, three hundred".