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2020000032 = 25346191259
BaseRepresentation
bin111100001100110…
…1100000100100000
312012202222122010000
41320121230010200
513114110000112
6532235340000
7101025500631
oct17031540440
95182878100
102020000032
11947267a16
124845b1600
1326265a7bb
141523c3888
15bc5137dc
hex7866c120

2020000032 has 120 divisors (see below), whose sum is σ = 5955087600. Its totient is φ = 671711616.

The previous prime is 2019999911. The next prime is 2020000039. The reversal of 2020000032 is 2300000202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2019999969 and 2020000023.

It is not an unprimeable number, because it can be changed into a prime (2020000039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1603819 + ... + 1605077.

It is an arithmetic number, because the mean of its divisors is an integer number (49625730).

Almost surely, 22020000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977543800).

2020000032 is an abundant number, since it is smaller than the sum of its proper divisors (3935087568).

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

2020000032 is a wasteful number, since it uses less digits than its factorization.

2020000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2020000032 is about 44944.4104644838. The cubic root of 2020000032 is about 1264.1068715384.

Adding to 2020000032 its reverse (2300000202), we get a palindrome (4320000234).

The spelling of 2020000032 in words is "two billion, twenty million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 619 648 864 1238 1259 1296 1857 2476 2518 2592 3714 3777 4952 5036 5571 7428 7554 9904 10072 11142 11331 14856 15108 16713 19808 20144 22284 22662 29712 30216 33426 33993 40288 44568 45324 50139 59424 60432 66852 67986 89136 90648 100278 101979 120864 133704 135972 178272 181296 200556 203958 267408 271944 362592 401112 407916 534816 543888 779321 802224 815832 1087776 1558642 1604448 1631664 2337963 3117284 3263328 4675926 6234568 7013889 9351852 12469136 14027778 18703704 21041667 24938272 28055556 37407408 42083334 56111112 63125001 74814816 84166668 112222224 126250002 168333336 224444448 252500004 336666672 505000008 673333344 1010000016 2020000032