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146202040 = 23517673209
BaseRepresentation
bin10001011011011…
…01110110111000
3101012002211111101
420231231312320
5244411431130
622301341144
73423461005
oct1055556670
9335084441
10146202040
1175588836
1240b677b4
132439c2aa
14155ba8ac
15cc7e1ca
hex8b6ddb8

146202040 has 64 divisors (see below), whose sum is σ = 353613600. Its totient is φ = 54202368.

The previous prime is 146202029. The next prime is 146202041. The reversal of 146202040 is 40202641.

It is a junction number, because it is equal to n+sod(n) for n = 146201999 and 146202017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146202041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43956 + ... + 47164.

Almost surely, 2146202040 is an apocalyptic number.

146202040 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 146202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176806800).

146202040 is an abundant number, since it is smaller than the sum of its proper divisors (207411560).

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

146202040 is a wasteful number, since it uses less digits than its factorization.

146202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 146202040 is about 12091.4035579001. The cubic root of 146202040 is about 526.8065234160.

Adding to 146202040 its reverse (40202641), we get a palindrome (186404681).

The spelling of 146202040 in words is "one hundred forty-six million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 335 340 536 670 680 1139 1340 2278 2680 3209 4556 5695 6418 9112 11390 12836 16045 22780 25672 32090 45560 54553 64180 109106 128360 215003 218212 272765 430006 436424 545530 860012 1075015 1091060 1720024 2150030 2182120 3655051 4300060 7310102 8600120 14620204 18275255 29240408 36550510 73101020 146202040