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405152130 = 23523601977
BaseRepresentation
bin11000001001100…
…010000110000010
31001020100212020110
4120021202012002
51312204332010
6104111452150
713016510355
oct3011420602
91036325213
10405152130
11198774879
12b3827056
1365c266b6
143bb4629c
1525880120
hex18262182

405152130 has 64 divisors (see below), whose sum is σ = 1017370368. Its totient is φ = 103065600.

The previous prime is 405152129. The next prime is 405152141. The reversal of 405152130 is 31251504.

It is a junction number, because it is equal to n+sod(n) for n = 405152097 and 405152106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414202 + ... + 415178.

It is an arithmetic number, because the mean of its divisors is an integer number (15896412).

Almost surely, 2405152130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405152130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508685184).

405152130 is an abundant number, since it is smaller than the sum of its proper divisors (612218238).

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

405152130 is a wasteful number, since it uses less digits than its factorization.

405152130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 405152130 is about 20128.3911428609. The cubic root of 405152130 is about 739.9562489351.

The spelling of 405152130 in words is "four hundred five million, one hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 601 690 977 1202 1803 1954 2931 3005 3606 4885 5862 6010 9015 9770 13823 14655 18030 22471 27646 29310 41469 44942 67413 69115 82938 112355 134826 138230 207345 224710 337065 414690 587177 674130 1174354 1761531 2935885 3523062 5871770 8807655 13505071 17615310 27010142 40515213 67525355 81030426 135050710 202576065 405152130