Search a number
-
+
977220640 = 255112332383
BaseRepresentation
bin111010001111110…
…011010000100000
32112002210221201001
4322033303100200
54000132030030
6240545121344
733134144524
oct7217632040
92462727631
10977220640
11461685370
12233329254
131275c2986
1493adbd84
155abd1cca
hex3a3f3420

977220640 has 96 divisors (see below), whose sum is σ = 2530434816. Its totient is φ = 353679360.

The previous prime is 977220613. The next prime is 977220659. The reversal of 977220640 is 46022779.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 977220640.

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, 408889 + ... + 411271.

It is an arithmetic number, because the mean of its divisors is an integer number (26358696).

Almost surely, 2977220640 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 977220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265217408).

977220640 is an abundant number, since it is smaller than the sum of its proper divisors (1553214176).

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

977220640 is a wasteful number, since it uses less digits than its factorization.

977220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 977220640 is about 31260.5284664223. The cubic root of 977220640 is about 992.3484836182.

The spelling of 977220640 in words is "nine hundred seventy-seven million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 233 352 440 466 880 932 1165 1760 1864 2330 2383 2563 3728 4660 4766 5126 7456 9320 9532 10252 11915 12815 18640 19064 20504 23830 25630 26213 37280 38128 41008 47660 51260 52426 76256 82016 95320 102520 104852 131065 190640 205040 209704 262130 381280 410080 419408 524260 555239 838816 1048520 1110478 2097040 2220956 2776195 4194080 4441912 5552390 6107629 8883824 11104780 12215258 17767648 22209560 24430516 30538145 44419120 48861032 61076290 88838240 97722064 122152580 195444128 244305160 488610320 977220640