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146248240 = 24510611723
BaseRepresentation
bin10001011011110…
…01001000110000
3101012012011212111
420231321020300
5244414420430
622302335104
73424042465
oct1055711060
9335164774
10146248240
117560a516
1240b8a494
13243b7328
14155cd66c
15cc8cc2a
hex8b79230

146248240 has 40 divisors (see below), whose sum is σ = 340545168. Its totient is φ = 58410240.

The previous prime is 146248217. The next prime is 146248261. The reversal of 146248240 is 42842641.

It is a tau number, because it is divible by the number of its divisors (40).

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, 84019 + ... + 85741.

Almost surely, 2146248240 is an apocalyptic number.

146248240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146248240 is an abundant number, since it is smaller than the sum of its proper divisors (194296928).

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

146248240 is a wasteful number, since it uses less digits than its factorization.

With its successor (146248241) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2791).

146248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 146248240 is about 12093.3138551846. The cubic root of 146248240 is about 526.8620080457.

The spelling of 146248240 in words is "one hundred forty-six million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1061 1723 2122 3446 4244 5305 6892 8488 8615 10610 13784 16976 17230 21220 27568 34460 42440 68920 84880 137840 1828103 3656206 7312412 9140515 14624824 18281030 29249648 36562060 73124120 146248240