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1220330976 = 25389233613
BaseRepresentation
bin100100010111100…
…1100010111100000
310011001021020101120
41020233030113200
54444401042401
6321031532240
742145433154
oct11057142740
93131236346
101220330976
115769327a7
122a082a080
13165a92447
14b8103064
1572204836
hex48bcc5e0

1220330976 has 96 divisors (see below), whose sum is σ = 3258571680. Its totient is φ = 399826944.

The previous prime is 1220330911. The next prime is 1220330981. The reversal of 1220330976 is 6790330221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12203309762 = 2978415381970225152, which contains 22 as substring.

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, 1990446 + ... + 1991058.

It is an arithmetic number, because the mean of its divisors is an integer number (33943455).

Almost surely, 21220330976 is an apocalyptic number.

1220330976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220330976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629285840).

1220330976 is an abundant number, since it is smaller than the sum of its proper divisors (2038240704).

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

1220330976 is a wasteful number, since it uses less digits than its factorization.

1220330976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1220330976 is about 34933.2359795081. The cubic root of 1220330976 is about 1068.6263491979.

The spelling of 1220330976 in words is "one billion, two hundred twenty million, three hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 233 267 356 466 534 613 699 712 932 1068 1226 1398 1424 1839 1864 2136 2452 2796 2848 3678 3728 4272 4904 5592 7356 7456 8544 9808 11184 14712 19616 20737 22368 29424 41474 54557 58848 62211 82948 109114 124422 142829 163671 165896 218228 248844 285658 327342 331792 428487 436456 497688 571316 654684 663584 856974 872912 995376 1142632 1309368 1713948 1745824 1990752 2285264 2618736 3427896 4570528 5237472 6855792 12711781 13711584 25423562 38135343 50847124 76270686 101694248 152541372 203388496 305082744 406776992 610165488 1220330976