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5437040 = 245721973
BaseRepresentation
bin10100101111011001110000
3101020020012212
4110233121300
52342441130
6312311252
764133300
oct24573160
911206185
105437040
113083a24
1219a2528
1311849ab
14a17600
15725e95
hex52f670

5437040 has 120 divisors (see below), whose sum is σ = 15690960. Its totient is φ = 1741824.

The previous prime is 5437037. The next prime is 5437043. The reversal of 5437040 is 407345.

5437040 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5437037) and next prime (5437043).

It is a super-2 number, since 2×54370402 = 59122807923200, which contains 22 as substring.

5437040 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 5436997 and 5437015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5437043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74444 + ... + 74516.

It is an arithmetic number, because the mean of its divisors is an integer number (130758).

Almost surely, 25437040 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 5437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845480).

5437040 is an abundant number, since it is smaller than the sum of its proper divisors (10253920).

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

5437040 is a wasteful number, since it uses less digits than its factorization.

5437040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 5437040 is about 2331.7461268329. The cubic root of 5437040 is about 175.8412825308.

The spelling of 5437040 in words is "five million, four hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 73 76 80 95 98 112 133 140 146 152 190 196 245 266 280 292 304 365 380 392 490 511 532 560 584 665 730 760 784 931 980 1022 1064 1168 1330 1387 1460 1520 1862 1960 2044 2128 2555 2660 2774 2920 3577 3724 3920 4088 4655 5110 5320 5548 5840 6935 7154 7448 8176 9310 9709 10220 10640 11096 13870 14308 14896 17885 18620 19418 20440 22192 27740 28616 35770 37240 38836 40880 48545 55480 57232 67963 71540 74480 77672 97090 110960 135926 143080 155344 194180 271852 286160 339815 388360 543704 679630 776720 1087408 1359260 2718520 5437040