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5146740 = 22365353
BaseRepresentation
bin10011101000100001110100
3100200111000000
4103220201310
52304143430
6302151300
761514034
oct23504164
910614000
105146740
1129a5905
121882530
1310b2811
1497d8c4
156b9e60
hex4e8874

5146740 has 84 divisors (see below), whose sum is σ = 16250724. Its totient is φ = 1368576.

The previous prime is 5146727. The next prime is 5146741. The reversal of 5146740 is 476415.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 3175524 = 1404^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146741) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14404 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (193461).

Almost surely, 25146740 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 5146740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125362).

5146740 is an abundant number, since it is smaller than the sum of its proper divisors (11103984).

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

5146740 is a wasteful number, since it uses less digits than its factorization.

5146740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

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

The square root of 5146740 is about 2268.6427660608. The cubic root of 5146740 is about 172.6543042750.

It can be divided in two parts, 5146 and 740, that added together give a triangular number (5886 = T108).

The spelling of 5146740 in words is "five million, one hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 353 405 486 540 706 729 810 972 1059 1215 1412 1458 1620 1765 2118 2430 2916 3177 3530 3645 4236 4860 5295 6354 7060 7290 9531 10590 12708 14580 15885 19062 21180 28593 31770 38124 47655 57186 63540 85779 95310 114372 142965 171558 190620 257337 285930 343116 428895 514674 571860 857790 1029348 1286685 1715580 2573370 5146740