Search a number
-
+
1059701172 = 2232383167277
BaseRepresentation
bin111111001010011…
…100000110110100
32201212000101201120
4333022130012310
54132240414142
6253053023540
735155211535
oct7712340664
92655011646
101059701172
114a41a01a2
12256a84bb0
1313b71111a
14a0a4c68c
15630757ec
hex3f29c1b4

1059701172 has 96 divisors (see below), whose sum is σ = 2636347392. Its totient is φ = 330608256.

The previous prime is 1059701147. The next prime is 1059701189. The reversal of 1059701172 is 2711079501.

It is a super-2 number, since 2×10597011722 = 2245933147876347168, which contains 22 as substring.

It is a congruent number.

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, 3825498 + ... + 3825774.

It is an arithmetic number, because the mean of its divisors is an integer number (27461952).

Almost surely, 21059701172 is an apocalyptic number.

1059701172 is a gapful number since it is divisible by the number (12) 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 1059701172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318173696).

1059701172 is an abundant number, since it is smaller than the sum of its proper divisors (1576646220).

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

1059701172 is a wasteful number, since it uses less digits than its factorization.

1059701172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 1059701172 is about 32553.0516541844. The cubic root of 1059701172 is about 1019.5169993100.

The spelling of 1059701172 in words is "one billion, fifty-nine million, seven hundred one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 167 249 276 277 332 334 498 501 554 668 831 996 1002 1108 1662 1909 2004 3324 3818 3841 5727 6371 7636 7682 11454 11523 12742 13861 15364 19113 22908 22991 23046 25484 27722 38226 41583 45982 46092 46259 55444 68973 76452 83166 91964 92518 137946 138777 166332 185036 275892 277554 318803 528793 555108 637606 956409 1057586 1063957 1275212 1586379 1912818 2115172 2127914 3172758 3191871 3825636 3839497 4255828 6345516 6383742 7678994 11518491 12767484 15357988 23036982 46073964 88308431 176616862 264925293 353233724 529850586 1059701172