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146057406 = 23112238747
BaseRepresentation
bin10001011010010…
…10100010111110
3101011211111002120
420231022202332
5244342314111
622254303410
73422316225
oct1055124276
9334744076
10146057406
117549a100
1240ab7b66
132434b501
141557dcbc
15cc51406
hex8b4a8be

146057406 has 48 divisors (see below), whose sum is σ = 335083392. Its totient is φ = 42330640.

The previous prime is 146057393. The next prime is 146057419. The reversal of 146057406 is 604750641.

146057406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146057393) and next prime (146057419).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12325 + ... + 21071.

It is an arithmetic number, because the mean of its divisors is an integer number (6980904).

Almost surely, 2146057406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146057406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167541696).

146057406 is an abundant number, since it is smaller than the sum of its proper divisors (189025986).

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

146057406 is a wasteful number, since it uses less digits than its factorization.

146057406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 146057406 is about 12085.4212173180. The cubic root of 146057406 is about 526.6327472859.

The spelling of 146057406 in words is "one hundred forty-six million, fifty-seven thousand, four hundred six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 5566 8349 8747 16698 17494 26241 52482 96217 192434 201181 288651 402362 577302 603543 1058387 1207086 2116774 2212991 3175161 4425982 6350322 6638973 13277946 24342901 48685802 73028703 146057406