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5264001240 = 2335592333191
BaseRepresentation
bin1001110011100001…
…00100100011011000
3111120212010222011220
410321300210203120
541240041014430
62230201452040
7244306162251
oct47160444330
914525128156
105264001240
112261434053
12102aaa1020
1365b764144
1437d183b28
1520c204110
hex139c248d8

5264001240 has 128 divisors (see below), whose sum is σ = 16133644800. Its totient is φ = 1373588480.

The previous prime is 5264001217. The next prime is 5264001241. The reversal of 5264001240 is 421004625.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5264001240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5264001241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648045 + ... + 1651235.

It is an arithmetic number, because the mean of its divisors is an integer number (126044100).

Almost surely, 25264001240 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 5264001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

5264001240 is an abundant number, since it is smaller than the sum of its proper divisors (10869643560).

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

5264001240 is a wasteful number, since it uses less digits than its factorization.

5264001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5264001240 is about 72553.4371342943. The cubic root of 5264001240 is about 1739.5569885514.

Adding to 5264001240 its reverse (421004625), we get a palindrome (5685005865).

The spelling of 5264001240 in words is "five billion, two hundred sixty-four million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 233 236 295 354 466 472 590 699 708 885 932 1165 1180 1398 1416 1770 1864 2330 2360 2796 3191 3495 3540 4660 5592 6382 6990 7080 9320 9573 12764 13747 13980 15955 19146 25528 27494 27960 31910 38292 41241 47865 54988 63820 68735 76584 82482 95730 109976 127640 137470 164964 188269 191460 206205 274940 329928 376538 382920 412410 549880 564807 743503 753076 824820 941345 1129614 1487006 1506152 1649640 1882690 2230509 2259228 2824035 2974012 3717515 3765380 4461018 4518456 5648070 5948024 7435030 7530760 8922036 11152545 11296140 14870060 17844072 22305090 22592280 29740120 43866677 44610180 87733354 89220360 131600031 175466708 219333385 263200062 350933416 438666770 526400124 658000155 877333540 1052800248 1316000310 1754667080 2632000620 5264001240