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5630213040 = 2435372692357
BaseRepresentation
bin1010011111001011…
…00011101110110000
3112112101020110022220
411033211203232300
543012313304130
62330403001040
7256344010164
oct51745435660
915471213286
105630213040
11242a121431
121111669180
136b95a540a
143b5a70ca4
1522e441410
hex14f963bb0

5630213040 has 160 divisors (see below), whose sum is σ = 17999651520. Its totient is φ = 1454764032.

The previous prime is 5630213023. The next prime is 5630213047. The reversal of 5630213040 is 403120365.

It is a happy number.

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 5630213040.

It is not an unprimeable number, because it can be changed into a prime (5630213047) 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, 2387542 + ... + 2389898.

It is an arithmetic number, because the mean of its divisors is an integer number (112497822).

Almost surely, 25630213040 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 5630213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999825760).

5630213040 is an abundant number, since it is smaller than the sum of its proper divisors (12369438480).

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

5630213040 is a wasteful number, since it uses less digits than its factorization.

5630213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5630213040 is about 75034.7455516443. The cubic root of 5630213040 is about 1778.9958819321.

The spelling of 5630213040 in words is "five billion, six hundred thirty million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 269 296 370 444 538 555 592 740 807 888 1076 1110 1345 1480 1614 1776 2152 2220 2357 2690 2960 3228 4035 4304 4440 4714 5380 6456 7071 8070 8880 9428 9953 10760 11785 12912 14142 16140 18856 19906 21520 23570 28284 29859 32280 35355 37712 39812 47140 49765 56568 59718 64560 70710 79624 87209 94280 99530 113136 119436 141420 149295 159248 174418 188560 199060 238872 261627 282840 298590 348836 398120 436045 477744 523254 565680 597180 634033 697672 796240 872090 1046508 1194360 1268066 1308135 1395344 1744180 1902099 2093016 2388720 2536132 2616270 3170165 3488360 3804198 4186032 5072264 5232540 6340330 6976720 7608396 9510495 10144528 10465080 12680660 15216792 19020990 20930160 23459221 25361320 30433584 38041980 46918442 50722640 70377663 76083960 93836884 117296105 140755326 152167920 187673768 234592210 281510652 351888315 375347536 469184420 563021304 703776630 938368840 1126042608 1407553260 1876737680 2815106520 5630213040