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514132740 = 22325111032521
BaseRepresentation
bin11110101001010…
…000101100000100
31022211102122112100
4132221100230010
52023104221430
6123003352100
715512025162
oct3651205404
91284378470
10514132740
1124423a5a0
12124222630
1382692a74
144c3d4232
153020a960
hex1ea50b04

514132740 has 144 divisors (see below), whose sum is σ = 1718510976. Its totient is φ = 123379200.

The previous prime is 514132669. The next prime is 514132757. The reversal of 514132740 is 47231415.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202680 + ... + 205200.

It is an arithmetic number, because the mean of its divisors is an integer number (11934104).

Almost surely, 2514132740 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 514132740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859255488).

514132740 is an abundant number, since it is smaller than the sum of its proper divisors (1204378236).

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

514132740 is a wasteful number, since it uses less digits than its factorization.

514132740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 514132740 is about 22674.4953637341. The cubic root of 514132740 is about 801.1092632911.

The spelling of 514132740 in words is "five hundred fourteen million, one hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 103 110 132 165 180 198 206 220 309 330 396 412 495 515 618 660 927 990 1030 1133 1236 1545 1854 1980 2060 2266 2521 3090 3399 3708 4532 4635 5042 5665 6180 6798 7563 9270 10084 10197 11330 12605 13596 15126 16995 18540 20394 22660 22689 25210 27731 30252 33990 37815 40788 45378 50420 50985 55462 67980 75630 83193 90756 101970 110924 113445 138655 151260 166386 203940 226890 249579 259663 277310 332772 415965 453780 499158 519326 554620 778989 831930 998316 1038652 1247895 1298315 1557978 1663860 2336967 2495790 2596630 2856293 3115956 3894945 4673934 4991580 5193260 5712586 7789890 8568879 9347868 11425172 11684835 14281465 15579780 17137758 23369670 25706637 28562930 34275516 42844395 46739340 51413274 57125860 85688790 102826548 128533185 171377580 257066370 514132740