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5990300960 = 25572977877
BaseRepresentation
bin1011001010000110…
…01011110100100000
3120110110210211002112
411211003023310200
544232004112320
62430224534452
7301305501200
oct54503136440
916413724075
105990300960
1125a4406856
1211b2181428
137460811a7
1440b806400
15250d6dec5
hex1650cbd20

5990300960 has 144 divisors (see below), whose sum is σ = 16634460024. Its totient is φ = 2032386048.

The previous prime is 5990300951. The next prime is 5990300977. The reversal of 5990300960 is 690030995.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3613933456 + 2376367504 = 60116^2 + 48748^2 .

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, 756542 + ... + 764418.

Almost surely, 25990300960 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 5990300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317230012).

5990300960 is an abundant number, since it is smaller than the sum of its proper divisors (10644159064).

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

5990300960 is a wasteful number, since it uses less digits than its factorization.

5990300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8003 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 41.

The square root of 5990300960 is about 77397.0345685156. The cubic root of 5990300960 is about 1816.1409355841.

The spelling of 5990300960 in words is "five billion, nine hundred ninety million, three hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 97 98 112 140 160 194 196 224 245 280 388 392 485 490 560 679 776 784 970 980 1120 1358 1552 1568 1940 1960 2716 3104 3395 3880 3920 4753 5432 6790 7760 7840 7877 9506 10864 13580 15520 15754 19012 21728 23765 27160 31508 38024 39385 47530 54320 55139 63016 76048 78770 95060 108640 110278 126032 152096 157540 190120 220556 252064 275695 315080 380240 385973 441112 551390 630160 760480 764069 771946 882224 1102780 1260320 1528138 1543892 1764448 1929865 2205560 3056276 3087784 3820345 3859730 4411120 5348483 6112552 6175568 7640690 7719460 8822240 10696966 12225104 12351136 15281380 15438920 21393932 24450208 26742415 30562760 30877840 37439381 42787864 53484830 61125520 61755680 74878762 85575728 106969660 122251040 149757524 171151456 187196905 213939320 299515048 374393810 427878640 599030096 748787620 855757280 1198060192 1497575240 2995150480 5990300960