Search a number
-
+
101862040 = 23571941467
BaseRepresentation
bin1100001001001…
…00101010011000
321002200010110011
412010210222120
5202034041130
614035131304
72344545610
oct604445230
9232603404
10101862040
1152553505
122a143b34
13181461c7
14d757a40
158e2152a
hex6124a98

101862040 has 128 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 32209920.

The previous prime is 101862031. The next prime is 101862049. The reversal of 101862040 is 40268101.

It is an interprime number because it is at equal distance from previous prime (101862031) and next prime (101862049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101862049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217887 + ... + 218353.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2101862040 is an apocalyptic number.

101862040 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 101862040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

101862040 is an abundant number, since it is smaller than the sum of its proper divisors (181184360).

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

101862040 is a wasteful number, since it uses less digits than its factorization.

101862040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 101862040 is about 10092.6725895572. The cubic root of 101862040 is about 467.0221260038.

The spelling of 101862040 in words is "one hundred one million, eight hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 41 56 70 76 82 95 133 140 152 164 190 205 266 280 287 328 380 410 467 532 574 665 760 779 820 934 1064 1148 1330 1435 1558 1640 1868 2296 2335 2660 2870 3116 3269 3736 3895 4670 5320 5453 5740 6232 6538 7790 8873 9340 10906 11480 13076 15580 16345 17746 18680 19147 21812 26152 27265 31160 32690 35492 38294 43624 44365 54530 62111 65380 70984 76588 88730 95735 109060 124222 130760 134029 153176 177460 191470 218120 248444 268058 310555 354920 363793 382940 496888 536116 621110 670145 727586 765880 1072232 1242220 1340290 1455172 1818965 2484440 2546551 2680580 2910344 3637930 5093102 5361160 7275860 10186204 12732755 14551720 20372408 25465510 50931020 101862040