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2056929760 = 25561732887
BaseRepresentation
bin111101010011010…
…0100000111100000
312022100110212011201
41322212210013200
513203033223020
6540035050544
7101654420524
oct17246440740
95270425151
102056929760
119660a0856
12494a40a54
1326a1baa02
14157277d84
15c08aaa0a
hex7a9a41e0

2056929760 has 96 divisors (see below), whose sum is σ = 5008554432. Its totient is φ = 797921280.

The previous prime is 2056929737. The next prime is 2056929769. The reversal of 2056929760 is 679296502.

It is a self number, because there is not a number n which added to its sum of digits gives 2056929760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056929769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711037 + ... + 713923.

It is an arithmetic number, because the mean of its divisors is an integer number (52172442).

Almost surely, 22056929760 is an apocalyptic number.

2056929760 is a gapful number since it is divisible by the number (20) 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 2056929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504277216).

2056929760 is an abundant number, since it is smaller than the sum of its proper divisors (2951624672).

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

2056929760 is a wasteful number, since it uses less digits than its factorization.

2056929760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 2056929760 is about 45353.3875250791. The cubic root of 2056929760 is about 1271.7638829693.

The spelling of 2056929760 in words is "two billion, fifty-six million, nine hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 73 80 122 146 160 244 292 305 365 488 584 610 730 976 1168 1220 1460 1952 2336 2440 2887 2920 4453 4880 5774 5840 8906 9760 11548 11680 14435 17812 22265 23096 28870 35624 44530 46192 57740 71248 89060 92384 115480 142496 176107 178120 210751 230960 352214 356240 421502 461920 704428 712480 843004 880535 1053755 1408856 1686008 1761070 2107510 2817712 3372016 3522140 4215020 5635424 6744032 7044280 8430040 12855811 14088560 16860080 25711622 28177120 33720160 51423244 64279055 102846488 128558110 205692976 257116220 411385952 514232440 1028464880 2056929760