Search a number
-
+
5761493760 = 283511136399
BaseRepresentation
bin1010101110110100…
…10110101100000000
3112212112021012121210
411113122112230000
543244420300020
62351412450120
7262526613621
oct52732265400
915775235553
105761493760
1124972385a0
121149619940
1370a84bb09
143c9285a48
1523ac243e0
hex157696b00

5761493760 has 144 divisors (see below), whose sum is σ = 20073715200. Its totient is φ = 1396715520.

The previous prime is 5761493743. The next prime is 5761493789. The reversal of 5761493760 is 673941675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25960 + ... + 110439.

It is an arithmetic number, because the mean of its divisors is an integer number (139400800).

Almost surely, 25761493760 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 5761493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036857600).

5761493760 is an abundant number, since it is smaller than the sum of its proper divisors (14312221440).

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

5761493760 is a wasteful number, since it uses less digits than its factorization.

5761493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136434 (or 136420 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 5761493760 is about 75904.5042141769. The cubic root of 5761493760 is about 1792.7168422471.

The spelling of 5761493760 in words is "five billion, seven hundred sixty-one million, four hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 136399 272798 409197 545596 681995 818394 1091192 1363990 1500389 1636788 2045985 2182384 2727980 3000778 3273576 4091970 4364768 4501167 5455960 6001556 6547152 7501945 8183940 8729536 9002334 10911920 12003112 13094304 15003890 16367880 17459072 18004668 21823840 22505835 24006224 26188608 30007780 32735760 34918144 36009336 43647680 45011670 48012448 52377216 60015560 65471520 72018672 87295360 90023340 96024896 104754432 120031120 130943040 144037344 174590720 180046680 192049792 240062240 261886080 288074688 360093360 384099584 480124480 523772160 576149376 720186720 960248960 1152298752 1440373440 1920497920 2880746880 5761493760