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1392681240 = 233256163419
BaseRepresentation
bin101001100000010…
…1010000100011000
310121001120112111200
41103000222010120
510323011244430
6350105554200
746340411106
oct12300520430
93531515450
101392681240
11655150035
1232a4a5960
131926b8452
14d2d68c76
15823eb460
hex5302a118

1392681240 has 96 divisors (see below), whose sum is σ = 4600486800. Its totient is φ = 365287680.

The previous prime is 1392681233. The next prime is 1392681271. The reversal of 1392681240 is 421862931.

It is a super-2 number, since 2×13926812402 = 3879122072495875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1392681195 and 1392681204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9750 + ... + 53669.

Almost surely, 21392681240 is an apocalyptic number.

1392681240 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 1392681240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300243400).

1392681240 is an abundant number, since it is smaller than the sum of its proper divisors (3207805560).

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

1392681240 is a wasteful number, since it uses less digits than its factorization.

1392681240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63497 (or 63490 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1392681240 is about 37318.6446699234. The cubic root of 1392681240 is about 1116.7361505240.

The spelling of 1392681240 in words is "one billion, three hundred ninety-two million, six hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 63419 126838 190257 253676 317095 380514 507352 570771 634190 761028 951285 1141542 1268380 1522056 1902570 2283084 2536760 2853855 3805140 3868559 4566168 5707710 7610280 7737118 11415420 11605677 15474236 19342795 22830840 23211354 30948472 34817031 38685590 46422708 58028385 69634062 77371180 92845416 116056770 139268124 154742360 174085155 232113540 278536248 348170310 464227080 696340620 1392681240