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145303992 = 23322018111
BaseRepresentation
bin10001010100100…
…10100110111000
3101010102012121100
420222102212320
5244144211432
622230211400
73413030541
oct1052224670
9333365540
10145303992
1175025049
12407b3b60
13241465c2
14154254c8
15cb5307c
hex8a929b8

145303992 has 24 divisors (see below), whose sum is σ = 393531840. Its totient is φ = 48434640.

The previous prime is 145303979. The next prime is 145303993. The reversal of 145303992 is 299303541.

It is a happy number.

145303992 is a `hidden beast` number, since 1 + 4 + 530 + 39 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1453039922 = 42226500182272128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145303993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1008984 + ... + 1009127.

It is an arithmetic number, because the mean of its divisors is an integer number (16397160).

Almost surely, 2145303992 is an apocalyptic number.

145303992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145303992 is an abundant number, since it is smaller than the sum of its proper divisors (248227848).

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

145303992 is a wasteful number, since it uses less digits than its factorization.

145303992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018123 (or 2018116 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 145303992 is about 12054.2105506748. The cubic root of 145303992 is about 525.7256686087.

The spelling of 145303992 in words is "one hundred forty-five million, three hundred three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2018111 4036222 6054333 8072444 12108666 16144888 18162999 24217332 36325998 48434664 72651996 145303992