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10200615740 = 2257178948157
BaseRepresentation
bin10011000000000000…
…10000101100111100
3222022220020222011222
421200000100230330
5131342324200430
64404110332512
7510531542330
oct114000205474
928286228158
1010200615740
114364a88647
121b881ba138
13c6742bb03
146caa657c0
153ea7d99e5
hex260010b3c

10200615740 has 96 divisors (see below), whose sum is σ = 26213362560. Its totient is φ = 3254575104.

The previous prime is 10200615731. The next prime is 10200615767. The reversal of 10200615740 is 4751600201.

It is a super-2 number, since 2×102006157402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187742 + ... + 235898.

It is an arithmetic number, because the mean of its divisors is an integer number (273055860).

Almost surely, 210200615740 is an apocalyptic number.

10200615740 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 10200615740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106681280).

10200615740 is an abundant number, since it is smaller than the sum of its proper divisors (16012746820).

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

10200615740 is a wasteful number, since it uses less digits than its factorization.

10200615740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48279 (or 48277 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 10200615740 in words is "ten billion, two hundred million, six hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 89 119 140 170 178 238 340 356 445 476 595 623 890 1190 1246 1513 1780 2380 2492 3026 3115 6052 6230 7565 10591 12460 15130 21182 30260 42364 48157 52955 96314 105910 192628 211820 240785 337099 481570 674198 818669 963140 1348396 1637338 1685495 3274676 3370990 4093345 4285973 5730683 6741980 8186690 8571946 11461366 16373380 17143892 21429865 22922732 28653415 30001811 42859730 57306830 60003622 72861541 85719460 114613660 120007244 145723082 150009055 291446164 300018110 364307705 510030787 600036220 728615410 1020061574 1457230820 2040123148 2550153935 5100307870 10200615740