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1409235968 = 210747289
BaseRepresentation
bin101001111111111…
…0011110000000000
310122012201121022202
41103333303300000
510341231022333
6351500452332
746631210450
oct12377636000
93565647282
101409235968
11663527928
12333b4a0a8
13195c6364a
14d5237d60
1583abb5e8
hex53ff3c00

1409235968 has 132 divisors (see below), whose sum is σ = 3326456880. Its totient is φ = 584466432.

The previous prime is 1409235953. The next prime is 1409235973. The reversal of 1409235968 is 8695329041.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15834068 + ... + 15834156.

Almost surely, 21409235968 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 1409235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663228440).

1409235968 is an abundant number, since it is smaller than the sum of its proper divisors (1917220912).

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

1409235968 is an frugal number, since it uses more digits than its factorization.

1409235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 1409235968 is about 37539.7917948408. The cubic root of 1409235968 is about 1121.1435938227.

The spelling of 1409235968 in words is "one billion, four hundred nine million, two hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 89 94 112 128 178 188 224 256 329 356 376 448 512 623 658 712 752 896 1024 1246 1316 1424 1504 1792 2209 2492 2632 2848 3008 3584 4183 4418 4984 5264 5696 6016 7168 8366 8836 9968 10528 11392 12032 15463 16732 17672 19936 21056 22784 24064 29281 30926 33464 35344 39872 42112 45568 48128 58562 61852 66928 70688 79744 84224 91136 117124 123704 133856 141376 159488 168448 196601 234248 247408 267712 282752 318976 336896 393202 468496 494816 535424 565504 637952 786404 936992 989632 1070848 1131008 1376207 1572808 1873984 1979264 2141696 2262016 2752414 3145616 3747968 3958528 4283392 5504828 6291232 7495936 7917056 11009656 12582464 14991872 15834112 22019312 25164928 29983744 44038624 50329856 88077248 100659712 176154496 201319424 352308992 704617984 1409235968