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1054444720 = 245721715823
BaseRepresentation
bin111110110110011…
…000110010110000
32201111010100020011
4332312120302300
54124414212340
6252344224304
735062426600
oct7666306260
92644110204
101054444720
114a122aa1a
1225516b094
1313a5c06b4
14a0080c00
15628880ea
hex3ed98cb0

1054444720 has 120 divisors (see below), whose sum is σ = 3019788864. Its totient is φ = 340236288.

The previous prime is 1054444717. The next prime is 1054444739. The reversal of 1054444720 is 274444501.

It is a super-2 number, since 2×10544447202 = 2223707335071756800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58729 + ... + 74551.

Almost surely, 21054444720 is an apocalyptic number.

1054444720 is a gapful number since it is divisible by the number (10) 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 1054444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509894432).

1054444720 is an abundant number, since it is smaller than the sum of its proper divisors (1965344144).

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

1054444720 is a wasteful number, since it uses less digits than its factorization.

1054444720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15867 (or 15854 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The square root of 1054444720 is about 32472.2145841641. The cubic root of 1054444720 is about 1017.8284957779.

The spelling of 1054444720 in words is "one billion, fifty-four million, four hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 2380 3332 3920 4165 4760 6664 8330 9520 13328 15823 16660 31646 33320 63292 66640 79115 110761 126584 158230 221522 253168 268991 316460 443044 537982 553805 632920 775327 886088 1075964 1107610 1265840 1344955 1550654 1772176 1882937 2151928 2215220 2689910 3101308 3765874 3876635 4303856 4430440 5379820 6202616 7531748 7753270 8860880 9414685 10759640 12405232 13180559 15063496 15506540 18829370 21519280 26361118 30126992 31013080 37658740 52722236 62026160 65902795 75317480 105444472 131805590 150634960 210888944 263611180 527222360 1054444720