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5306757720 = 2335118348437
BaseRepresentation
bin1001111000100111…
…01011001001011000
3111200211121020001020
410330103223021120
541332012221340
62234330122440
7245335460565
oct47423531130
914624536036
105306757720
112283587690
121041280420
13667584534
14384b1386c
15210d4c9d0
hex13c4eb258

5306757720 has 128 divisors (see below), whose sum is σ = 17577181440. Its totient is φ = 1270960640.

The previous prime is 5306757679. The next prime is 5306757721. The reversal of 5306757720 is 277576035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306757721) 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, 85342 + ... + 133778.

It is an arithmetic number, because the mean of its divisors is an integer number (137321730).

Almost surely, 25306757720 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 5306757720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788590720).

5306757720 is an abundant number, since it is smaller than the sum of its proper divisors (12270423720).

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

5306757720 is a wasteful number, since it uses less digits than its factorization.

5306757720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48545 (or 48541 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 42.

The square root of 5306757720 is about 72847.4963193657. The cubic root of 5306757720 is about 1744.2541038650.

The spelling of 5306757720 in words is "five billion, three hundred six million, seven hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 132 165 166 220 249 264 330 332 415 440 498 660 664 830 913 996 1245 1320 1660 1826 1992 2490 2739 3320 3652 4565 4980 5478 7304 9130 9960 10956 13695 18260 21912 27390 36520 48437 54780 96874 109560 145311 193748 242185 290622 387496 484370 532807 581244 726555 968740 1065614 1162488 1453110 1598421 1937480 2131228 2664035 2906220 3196842 4020271 4262456 5328070 5812440 6393684 7992105 8040542 10656140 12060813 12787368 15984210 16081084 20101355 21312280 24121626 31968420 32162168 40202710 44222981 48243252 60304065 63936840 80405420 88445962 96486504 120608130 132668943 160810840 176891924 221114905 241216260 265337886 353783848 442229810 482432520 530675772 663344715 884459620 1061351544 1326689430 1768919240 2653378860 5306757720