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1350157248 = 26341123677
BaseRepresentation
bin101000001111001…
…1100001111000000
310111002120002120000
41100132130033000
510231120012443
6341550320000
745313101336
oct12036341700
93432502500
101350157248
11633146140
123181b9000
13186949b1b
14cb459b56
157d7eb8d3
hex5079c3c0

1350157248 has 140 divisors (see below), whose sum is σ = 4366317912. Its totient is φ = 409121280.

The previous prime is 1350157219. The next prime is 1350157273. The reversal of 1350157248 is 8427510531.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45186 + ... + 68862.

Almost surely, 21350157248 is an apocalyptic number.

1350157248 is a gapful number since it is divisible by the number (18) 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 1350157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183158956).

1350157248 is an abundant number, since it is smaller than the sum of its proper divisors (3016160664).

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

1350157248 is a wasteful number, since it uses less digits than its factorization.

1350157248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712 (or 23693 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1350157248 is about 36744.4859536775. The cubic root of 1350157248 is about 1105.2523595250.

Adding to 1350157248 its reverse (8427510531), we get a palindrome (9777667779).

The spelling of 1350157248 in words is "one billion, three hundred fifty million, one hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 23677 28512 47354 57024 71031 94708 142062 189416 213093 260447 284124 378832 426186 520894 568248 639279 757664 781341 852372 1041788 1136496 1278558 1515328 1562682 1704744 1917837 2083576 2272992 2344023 2557116 3125364 3409488 3835674 4167152 4545984 4688046 5114232 6250728 6818976 7032069 7671348 8334304 9376092 10228464 12501456 13637952 14064138 15342696 16668608 18752184 20456928 21096207 25002912 28128276 30685392 37504368 40913856 42192414 50005824 56256552 61370784 75008736 84384828 112513104 122741568 150017472 168769656 225026208 337539312 450052416 675078624 1350157248