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1249440 = 253519137
BaseRepresentation
bin100110001000010100000
32100110220120
410301002200
5304440230
642440240
713422453
oct4610240
92313816
101249440
117837a5
12503080
1334991a
1424749a
1519a310
hex1310a0

1249440 has 96 divisors (see below), whose sum is σ = 4173120. Its totient is φ = 313344.

The previous prime is 1249433. The next prime is 1249477. The reversal of 1249440 is 449421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12494402 = 3122200627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1249440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9052 + ... + 9188.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

21249440 is an apocalyptic number.

1249440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086560).

1249440 is an abundant number, since it is smaller than the sum of its proper divisors (2923680).

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

1249440 is a wasteful number, since it uses less digits than its factorization.

1249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1249440 is about 1117.7835210809. The cubic root of 1249440 is about 107.7056456531.

The spelling of 1249440 in words is "one million, two hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 137 152 160 190 228 240 274 285 304 380 411 456 480 548 570 608 685 760 822 912 1096 1140 1370 1520 1644 1824 2055 2192 2280 2603 2740 3040 3288 4110 4384 4560 5206 5480 6576 7809 8220 9120 10412 10960 13015 13152 15618 16440 20824 21920 26030 31236 32880 39045 41648 52060 62472 65760 78090 83296 104120 124944 156180 208240 249888 312360 416480 624720 1249440