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1090157408 = 25313473167
BaseRepresentation
bin100000011111010…
…0111101101100000
32210222022201211022
41000332213231200
54213040014113
6300101505012
736005120324
oct10076475540
92728281738
101090157408
1150a40243a
12265112168
13144b15972
14a4ad9984
1565a8e908
hex40fa7b60

1090157408 has 48 divisors (see below), whose sum is σ = 2222567424. Its totient is φ = 525809280.

The previous prime is 1090157363. The next prime is 1090157423. The reversal of 1090157408 is 8047510901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342641 + ... + 345807.

It is an arithmetic number, because the mean of its divisors is an integer number (46303488).

Almost surely, 21090157408 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 1090157408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111283712).

1090157408 is an abundant number, since it is smaller than the sum of its proper divisors (1132410016).

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

1090157408 is a wasteful number, since it uses less digits than its factorization.

1090157408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 1090157408 is about 33017.5318278032. The cubic root of 1090157408 is about 1029.1920040211.

The spelling of 1090157408 in words is "one billion, ninety million, one hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 347 496 694 992 1388 2776 3167 5552 6334 10757 11104 12668 21514 25336 43028 50672 86056 98177 101344 172112 196354 344224 392708 785416 1098949 1570832 2197898 3141664 4395796 8791592 17583184 34067419 35166368 68134838 136269676 272539352 545078704 1090157408