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5615940 = 22351167127
BaseRepresentation
bin10101011011000101000100
3101120022121210
4111123011010
52414202230
6320211420
765510001
oct25330504
911508553
105615940
113196380
121a69b70
131218255
14a628a8
1575deb0
hex55b144

5615940 has 96 divisors (see below), whose sum is σ = 17547264. Its totient is φ = 1330560.

The previous prime is 5615923. The next prime is 5615947. The reversal of 5615940 is 495165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5615898 and 5615907.

It is not an unprimeable number, because it can be changed into a prime (5615947) 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, 44157 + ... + 44283.

It is an arithmetic number, because the mean of its divisors is an integer number (182784).

Almost surely, 25615940 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 5615940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773632).

5615940 is an abundant number, since it is smaller than the sum of its proper divisors (11931324).

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

5615940 is a wasteful number, since it uses less digits than its factorization.

5615940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5615940 is about 2369.7974596999. The cubic root of 5615940 is about 177.7491310902.

It can be divided in two parts, 5615 and 940, that added together give a triangular number (6555 = T114).

The spelling of 5615940 in words is "five million, six hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 127 132 134 165 201 220 254 268 330 335 381 402 508 635 660 670 737 762 804 1005 1270 1340 1397 1474 1524 1905 2010 2211 2540 2794 2948 3685 3810 4020 4191 4422 5588 6985 7370 7620 8382 8509 8844 11055 13970 14740 16764 17018 20955 22110 25527 27940 34036 41910 42545 44220 51054 83820 85090 93599 102108 127635 170180 187198 255270 280797 374396 467995 510540 561594 935990 1123188 1403985 1871980 2807970 5615940