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4921920 = 263251709
BaseRepresentation
bin10010110001101001000000
3100021001121100
4102301221000
52230000140
6253254400
756556423
oct22615100
910231540
104921920
112861a03
121794400
1310343a3
149219ba
15673530
hex4b1a40

4921920 has 84 divisors (see below), whose sum is σ = 16939260. Its totient is φ = 1311744.

The previous prime is 4921919. The next prime is 4921921. The reversal of 4921920 is 291294.

It is an interprime number because it is at equal distance from previous prime (4921919) and next prime (4921921).

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 3594816 = 1152^2 + 1896^2 .

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 not an unprimeable number, because it can be changed into a prime (4921921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2026 + ... + 3734.

Almost surely, 24921920 is an apocalyptic number.

4921920 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 4921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469630).

4921920 is an abundant number, since it is smaller than the sum of its proper divisors (12017340).

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

4921920 is a wasteful number, since it uses less digits than its factorization.

4921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4921920 is about 2218.5400604902. The cubic root of 4921920 is about 170.1028213043.

The spelling of 4921920 in words is "four million, nine hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 1709 2880 3418 5127 6836 8545 10254 13672 15381 17090 20508 25635 27344 30762 34180 41016 51270 54688 61524 68360 76905 82032 102540 109376 123048 136720 153810 164064 205080 246096 273440 307620 328128 410160 492192 546880 615240 820320 984384 1230480 1640640 2460960 4921920