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514682740 = 22511132109127
BaseRepresentation
bin11110101011010…
…110111101110100
31022212110120222201
4132223112331310
52023224321430
6123023234244
715516505525
oct3653267564
91285416881
10514682740
11244585840
12124448984
1382826200
144c4d884c
15302b88ca
hex1ead6f74

514682740 has 144 divisors (see below), whose sum is σ = 1298626560. Its totient is φ = 169827840.

The previous prime is 514682719. The next prime is 514682743. The reversal of 514682740 is 47286415.

It is a self number, because there is not a number n which added to its sum of digits gives 514682740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514682743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4052557 + ... + 4052683.

It is an arithmetic number, because the mean of its divisors is an integer number (9018240).

Almost surely, 2514682740 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 514682740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649313280).

514682740 is an abundant number, since it is smaller than the sum of its proper divisors (783943820).

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

514682740 is a wasteful number, since it uses less digits than its factorization.

514682740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 514682740 is about 22686.6202859747. The cubic root of 514682740 is about 801.3948270751.

The spelling of 514682740 in words is "five hundred fourteen million, six hundred eighty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 109 110 127 130 143 169 218 220 254 260 286 338 436 508 545 572 635 676 715 845 1090 1199 1270 1397 1417 1430 1651 1690 1859 2180 2398 2540 2794 2834 2860 3302 3380 3718 4796 5588 5668 5995 6604 6985 7085 7436 8255 9295 11990 13843 13970 14170 15587 16510 18161 18421 18590 21463 23980 27686 27940 28340 31174 33020 36322 36842 37180 42926 55372 62348 69215 72644 73684 77935 85852 90805 92105 107315 138430 152273 155870 179959 181610 184210 202631 214630 236093 276860 304546 311740 359918 363220 368420 405262 429260 472186 609092 719836 761365 810524 899795 944372 1013155 1180465 1522730 1799590 1979549 2026310 2339467 2360930 3045460 3599180 3959098 4052620 4678934 4721860 7918196 9357868 9897745 11697335 19795490 23394670 25734137 39590980 46789340 51468274 102936548 128670685 257341370 514682740