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146153917 = 72134792
BaseRepresentation
bin10001011011000…
…10000110111101
3101012000101111001
420231202012331
5244403411132
622300330301
73423200500
oct1055420675
9335011431
10146153917
1175555668
1240b43991
1324383410
14155a7137
15cc6ece7
hex8b621bd

146153917 has 18 divisors (see below), whose sum is σ = 183476958. Its totient is φ = 115396848.

The previous prime is 146153869. The next prime is 146153923. The reversal of 146153917 is 719351641.

It is a happy number.

146153917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 101183481 + 44970436 = 10059^2 + 6706^2 .

It is not a de Polignac number, because 146153917 - 27 = 146153789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146153317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 304884 + ... + 305362.

Almost surely, 2146153917 is an apocalyptic number.

It is an amenable number.

146153917 is a deficient number, since it is larger than the sum of its proper divisors (37323041).

146153917 is an frugal number, since it uses more digits than its factorization.

146153917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 499 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 146153917 is about 12089.4134266308. The cubic root of 146153917 is about 526.7487168985.

The spelling of 146153917 in words is "one hundred forty-six million, one hundred fifty-three thousand, nine hundred seventeen".

Divisors: 1 7 13 49 91 479 637 3353 6227 23471 43589 229441 305123 1606087 2982733 11242609 20879131 146153917