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2059708420 = 2257112358151
BaseRepresentation
bin111101011000100…
…1010100000000100
312022112201000210001
41322301022200010
513204241132140
6540214411044
7102020142550
oct17261124004
95275630701
102059708420
11967719470
12495960a84
1326a9516a3
1415779c860
15c0c58e9a
hex7ac4a804

2059708420 has 96 divisors (see below), whose sum is σ = 5627252736. Its totient is φ = 614064000.

The previous prime is 2059708393. The next prime is 2059708447. The reversal of 2059708420 is 248079502.

It is an interprime number because it is at equal distance from previous prime (2059708393) and next prime (2059708447).

It is a self number, because there is not a number n which added to its sum of digits gives 2059708420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6345 + ... + 64495.

It is an arithmetic number, because the mean of its divisors is an integer number (58617216).

Almost surely, 22059708420 is an apocalyptic number.

2059708420 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 2059708420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813626368).

2059708420 is an abundant number, since it is smaller than the sum of its proper divisors (3567544316).

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

2059708420 is a wasteful number, since it uses less digits than its factorization.

2059708420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58201 (or 58199 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2059708420 is about 45384.0106204817. The cubic root of 2059708420 is about 1272.3362910066.

The spelling of 2059708420 in words is "two billion, fifty-nine million, seven hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 644 770 805 1012 1265 1540 1610 1771 2530 3220 3542 5060 7084 8855 17710 35420 58151 116302 232604 290755 407057 581510 639661 814114 1163020 1279322 1337473 1628228 2035285 2558644 2674946 3198305 4070570 4477627 5349892 6396610 6687365 8141140 8955254 9362311 12793220 13374730 14712203 17910508 18724622 22388135 26749460 29424406 37449244 44776270 46811555 58848812 73561015 89552540 93623110 102985421 147122030 187246220 205970842 294244060 411941684 514927105 1029854210 2059708420