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404214140 = 225117325169
BaseRepresentation
bin11000000101111…
…101000101111100
31001011121012120002
4120011331011330
51311434323030
6104035413432
713005522611
oct3005750574
91034535502
10404214140
11198194080
12b3454278
1365988785
143b980508
1525747245
hex1817d17c

404214140 has 48 divisors (see below), whose sum is σ = 938740320. Its totient is φ = 144967680.

The previous prime is 404214119. The next prime is 404214157. The reversal of 404214140 is 41412404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3476 + ... + 28644.

It is an arithmetic number, because the mean of its divisors is an integer number (19557090).

Almost surely, 2404214140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469370160).

404214140 is an abundant number, since it is smaller than the sum of its proper divisors (534526180).

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

404214140 is a wasteful number, since it uses less digits than its factorization.

404214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25262 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 404214140 is about 20105.0774681422. The cubic root of 404214140 is about 739.3847698715.

Adding to 404214140 its reverse (41412404), we get a palindrome (445626544).

The spelling of 404214140 in words is "four hundred four million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 16060 25169 50338 100676 125845 251690 276859 503380 553718 1107436 1384295 1837337 2768590 3674674 5537180 7349348 9186685 18373370 20210707 36746740 40421414 80842828 101053535 202107070 404214140