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1053001216 = 2917311389
BaseRepresentation
bin111110110000111…
…000011000000000
32201101102000010001
4332300320120000
54124032014331
6252253245344
735044235251
oct7660703000
92641360101
101053001216
114a0434443
12254793854
1313a206657
149dbc6b28
15626a0561
hex3ec38600

1053001216 has 80 divisors (see below), whose sum is σ = 2240615520. Its totient is φ = 492666880.

The previous prime is 1053001193. The next prime is 1053001247. The reversal of 1053001216 is 6121003501.

It is a super-2 number, since 2×10530012162 = 2217623121794957312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053001193 and 1053001202.

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, 2706750 + ... + 2707138.

It is an arithmetic number, because the mean of its divisors is an integer number (28007694).

Almost surely, 21053001216 is an apocalyptic number.

1053001216 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 1053001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120307760).

1053001216 is an abundant number, since it is smaller than the sum of its proper divisors (1187614304).

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

1053001216 is an equidigital number, since it uses as much as digits as its factorization.

1053001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1053001216 is about 32449.9802157105. The cubic root of 1053001216 is about 1017.3638245198.

Adding to 1053001216 its reverse (6121003501), we get a palindrome (7174004717).

The spelling of 1053001216 in words is "one billion, fifty-three million, one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 311 389 512 544 622 778 1088 1244 1556 2176 2488 3112 4352 4976 5287 6224 6613 8704 9952 10574 12448 13226 19904 21148 24896 26452 39808 42296 49792 52904 79616 84592 99584 105808 120979 159232 169184 199168 211616 241958 338368 423232 483916 676736 846464 967832 1353472 1692928 1935664 2056643 2706944 3385856 3871328 4113286 7742656 8226572 15485312 16453144 30970624 32906288 61941248 65812576 131625152 263250304 526500608 1053001216