Search a number
-
+
977364620 = 225371996637
BaseRepresentation
bin111010010000010…
…110011010001100
32112010002021012122
4322100112122030
54000201131440
6240552152112
733135314351
oct7220263214
92463067178
10977364620
11461773561
12233398638
1312764337b
1493b38628
155ac0e7b5
hex3a41668c

977364620 has 48 divisors (see below), whose sum is σ = 2118849600. Its totient is φ = 378411264.

The previous prime is 977364613. The next prime is 977364637. The reversal of 977364620 is 26463779.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143942 + ... + 150578.

It is an arithmetic number, because the mean of its divisors is an integer number (44142700).

Almost surely, 2977364620 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 977364620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059424800).

977364620 is an abundant number, since it is smaller than the sum of its proper divisors (1141484980).

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

977364620 is a wasteful number, since it uses less digits than its factorization.

977364620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 977364620 is about 31262.8312857297. The cubic root of 977364620 is about 992.3972175180.

The spelling of 977364620 in words is "nine hundred seventy-seven million, three hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 199 370 398 740 796 995 1990 3980 6637 7363 13274 14726 26548 29452 33185 36815 66370 73630 132740 147260 245569 491138 982276 1227845 1320763 2455690 2641526 4911380 5283052 6603815 13207630 26415260 48868231 97736462 195472924 244341155 488682310 977364620