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5235421440 = 28358915319
BaseRepresentation
bin1001110000000111…
…00011000100000000
3111111212100222001210
410320003203010000
541210231441230
62223301130120
7243511230234
oct47003430400
914455328053
105235421440
112247293687
1210213b9940
13655868712
143794645c4
1520995aeb0
hex1380e3100

5235421440 has 144 divisors (see below), whose sum is σ = 16909603200. Its totient is φ = 1380335616.

The previous prime is 5235421427. The next prime is 5235421447. The reversal of 5235421440 is 441245325.

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

It is a junction number, because it is equal to n+sod(n) for n = 5235421398 and 5235421407.

It is not an unprimeable number, because it can be changed into a prime (5235421447) 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, 334101 + ... + 349419.

It is an arithmetic number, because the mean of its divisors is an integer number (117427800).

Almost surely, 25235421440 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 5235421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454801600).

5235421440 is an abundant number, since it is smaller than the sum of its proper divisors (11674181760).

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

5235421440 is a wasteful number, since it uses less digits than its factorization.

5235421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15432 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5235421440 is about 72356.2121728328. The cubic root of 5235421440 is about 1736.4030861935.

Adding to 5235421440 its reverse (441245325), we get a palindrome (5676666765).

The spelling of 5235421440 in words is "five billion, two hundred thirty-five million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 256 267 320 356 384 445 480 534 640 712 768 890 960 1068 1280 1335 1424 1780 1920 2136 2670 2848 3560 3840 4272 5340 5696 7120 8544 10680 11392 14240 15319 17088 21360 22784 28480 30638 34176 42720 45957 56960 61276 68352 76595 85440 91914 113920 122552 153190 170880 183828 229785 245104 306380 341760 367656 459570 490208 612760 735312 919140 980416 1225520 1363391 1470624 1838280 1960832 2451040 2726782 2941248 3676560 3921664 4090173 4902080 5453564 5882496 6816955 7353120 8180346 9804160 10907128 11764992 13633910 14706240 16360692 19608320 20450865 21814256 27267820 29412480 32721384 40901730 43628512 54535640 58824960 65442768 81803460 87257024 109071280 130885536 163606920 174514048 218142560 261771072 327213840 349028096 436285120 523542144 654427680 872570240 1047084288 1308855360 1745140480 2617710720 5235421440