Search a number
-
+
4739040 = 253351097
BaseRepresentation
bin10010000100111111100000
322220202202000
4102010333200
52203122130
6245324000
755165305
oct22047740
98822660
104739040
112747569
121706600
13c9c087
148b50ac
15639260
hex484fe0

4739040 has 96 divisors (see below), whose sum is σ = 16601760. Its totient is φ = 1262592.

The previous prime is 4739027. The next prime is 4739041. The reversal of 4739040 is 409374.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4738995 and 4739013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4739041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3772 + ... + 4868.

It is an arithmetic number, because the mean of its divisors is an integer number (172935).

Almost surely, 24739040 is an apocalyptic number.

4739040 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 4739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300880).

4739040 is an abundant number, since it is smaller than the sum of its proper divisors (11862720).

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

4739040 is a wasteful number, since it uses less digits than its factorization.

4739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4739040 is about 2176.9336232416. The cubic root of 4739040 is about 167.9693821754.

The spelling of 4739040 in words is "four million, seven hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1097 1440 2160 2194 3291 4320 4388 5485 6582 8776 9873 10970 13164 16455 17552 19746 21940 26328 29619 32910 35104 39492 43880 49365 52656 59238 65820 78984 87760 98730 105312 118476 131640 148095 157968 175520 197460 236952 263280 296190 315936 394920 473904 526560 592380 789840 947808 1184760 1579680 2369520 4739040