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4974240 = 253543241
BaseRepresentation
bin10010111110011010100000
3100100201101010
4102332122200
52233133430
6254340520
760165105
oct22763240
910321333
104974240
112898247
1217ba740
13105214b
14936aac
15683cb0
hex4be6a0

4974240 has 96 divisors (see below), whose sum is σ = 16099776. Its totient is φ = 1290240.

The previous prime is 4974239. The next prime is 4974241. The reversal of 4974240 is 424794.

It is an interprime number because it is at equal distance from previous prime (4974239) and next prime (4974241).

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

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 = 4974198 and 4974207.

It is not an unprimeable number, because it can be changed into a prime (4974241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20520 + ... + 20760.

It is an arithmetic number, because the mean of its divisors is an integer number (167706).

Almost surely, 24974240 is an apocalyptic number.

4974240 is a gapful number since it is divisible by the number (40) 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 4974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049888).

4974240 is an abundant number, since it is smaller than the sum of its proper divisors (11125536).

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

4974240 is a wasteful number, since it uses less digits than its factorization.

4974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4974240 is about 2230.3004281935. The cubic root of 4974240 is about 170.7034290381.

The spelling of 4974240 in words is "four million, nine hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 241 258 344 430 480 482 516 645 688 723 860 964 1032 1205 1290 1376 1446 1720 1928 2064 2410 2580 2892 3440 3615 3856 4128 4820 5160 5784 6880 7230 7712 9640 10320 10363 11568 14460 19280 20640 20726 23136 28920 31089 38560 41452 51815 57840 62178 82904 103630 115680 124356 155445 165808 207260 248712 310890 331616 414520 497424 621780 829040 994848 1243560 1658080 2487120 4974240