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368468140 = 225191138581
BaseRepresentation
bin10101111101100…
…110000010101100
3221200100010021011
4111331212002230
51223311440030
6100321315004
712062633065
oct2575460254
9850303234
10368468140
11179a99627
12a3495a64
135b4512b1
1436d1756c
1522535b2a
hex15f660ac

368468140 has 48 divisors (see below), whose sum is σ = 821812320. Its totient is φ = 138378240.

The previous prime is 368468129. The next prime is 368468143. The reversal of 368468140 is 41864863.

It is a junction number, because it is equal to n+sod(n) for n = 368468093 and 368468102.

It is not an unprimeable number, because it can be changed into a prime (368468143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38650 + ... + 47230.

It is an arithmetic number, because the mean of its divisors is an integer number (17121090).

Almost surely, 2368468140 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 368468140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410906160).

368468140 is an abundant number, since it is smaller than the sum of its proper divisors (453344180).

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

368468140 is a wasteful number, since it uses less digits than its factorization.

368468140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 368468140 is about 19195.5239574230. The cubic root of 368468140 is about 716.9133164607.

It can be divided in two parts, 3684 and 68140, that added together give a square (71824 = 2682).

The spelling of 368468140 in words is "three hundred sixty-eight million, four hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 1130 2147 2260 4294 8581 8588 10735 17162 21470 34324 42905 42940 85810 163039 171620 326078 652156 815195 969653 1630390 1939306 3260780 3878612 4848265 9696530 18423407 19393060 36846814 73693628 92117035 184234070 368468140