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514149880 = 2351931139157
BaseRepresentation
bin11110101001010…
…100110111111000
31022211110112001011
4132221110313320
52023110244010
6123004003304
715512126146
oct3651246770
91284415034
10514149880
11244251462
12124230534
138269a7ca
144c3da596
1530210a8a
hex1ea54df8

514149880 has 128 divisors (see below), whose sum is σ = 1274112000. Its totient is φ = 186001920.

The previous prime is 514149869. The next prime is 514149901. The reversal of 514149880 is 88941415.

It is a super-3 number, since 3×5141498803 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3274762 + ... + 3274918.

It is an arithmetic number, because the mean of its divisors is an integer number (9954000).

Almost surely, 2514149880 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 514149880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637056000).

514149880 is an abundant number, since it is smaller than the sum of its proper divisors (759962120).

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

514149880 is a wasteful number, since it uses less digits than its factorization.

514149880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 514149880 is about 22674.8733182790. The cubic root of 514149880 is about 801.1181655707.

The spelling of 514149880 in words is "five hundred fourteen million, one hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 139 152 155 157 190 248 278 310 314 380 556 589 620 628 695 760 785 1112 1178 1240 1256 1390 1570 2356 2641 2780 2945 2983 3140 4309 4712 4867 5282 5560 5890 5966 6280 8618 9734 10564 11780 11932 13205 14915 17236 19468 21128 21545 21823 23560 23864 24335 26410 29830 34472 38936 43090 43646 48670 52820 59660 81871 86180 87292 92473 97340 105640 109115 119320 163742 172360 174584 184946 194680 218230 327484 369892 409355 414637 436460 462365 654968 676513 739784 818710 829274 872920 924730 1353026 1637420 1658548 1849460 2073185 2706052 3274840 3317096 3382565 3698920 4146370 5412104 6765130 8292740 12853747 13530260 16585480 25707494 27060520 51414988 64268735 102829976 128537470 257074940 514149880