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5313744120 = 2335107421983
BaseRepresentation
bin1001111001011100…
…10100110011111000
3111201022202011120210
410330232110303320
541340304302440
62235135551120
7245452036236
oct47456246370
914638664523
105313744120
112287519673
12104368b4a0
13668b5c4b9
14385a11956
1521177ca80
hex13cb94cf8

5313744120 has 128 divisors (see below), whose sum is σ = 16144842240. Its totient is φ = 1398996480.

The previous prime is 5313744113. The next prime is 5313744169. The reversal of 5313744120 is 214473135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5405149 + ... + 5406131.

It is an arithmetic number, because the mean of its divisors is an integer number (126131580).

Almost surely, 25313744120 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 5313744120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072421120).

5313744120 is an abundant number, since it is smaller than the sum of its proper divisors (10831098120).

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

5313744120 is a wasteful number, since it uses less digits than its factorization.

5313744120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5313744120 is about 72895.4327787414. The cubic root of 5313744120 is about 1745.0192109061.

The spelling of 5313744120 in words is "five billion, three hundred thirteen million, seven hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 421 428 535 642 842 856 983 1070 1263 1284 1605 1684 1966 2105 2140 2526 2568 2949 3210 3368 3932 4210 4280 4915 5052 5898 6315 6420 7864 8420 9830 10104 11796 12630 12840 14745 16840 19660 23592 25260 29490 39320 45047 50520 58980 90094 105181 117960 135141 180188 210362 225235 270282 315543 360376 413843 420724 450470 525905 540564 631086 675705 827686 841448 900940 1051810 1081128 1241529 1262172 1351410 1577715 1655372 1801880 2069215 2103620 2483058 2524344 2702820 3155430 3310744 4138430 4207240 4966116 5405640 6207645 6310860 8276860 9932232 12415290 12621720 16553720 24830580 44281201 49661160 88562402 132843603 177124804 221406005 265687206 354249608 442812010 531374412 664218015 885624020 1062748824 1328436030 1771248040 2656872060 5313744120