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4741920 = 253253789
BaseRepresentation
bin10010000101101100100000
322220220200200
4102011230200
52203220140
6245345200
755206561
oct22055440
98826620
104741920
112749747
121708200
13ca0491
148b6168
1563a030
hex485b20

4741920 has 144 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 1216512.

The previous prime is 4741901. The next prime is 4741931. The reversal of 4741920 is 291474.

It is a happy number.

4741920 is a `hidden beast` number, since 474 + 192 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 725904 = 2004^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53236 + ... + 53324.

Almost surely, 24741920 is an apocalyptic number.

4741920 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 4741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

4741920 is an abundant number, since it is smaller than the sum of its proper divisors (12063960).

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

4741920 is a wasteful number, since it uses less digits than its factorization.

4741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4741920 is about 2177.5950036680. The cubic root of 4741920 is about 168.0034012917.

The spelling of 4741920 in words is "four million, seven hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 89 90 96 111 120 144 148 160 178 180 185 222 240 267 288 296 333 356 360 370 444 445 480 534 555 592 666 712 720 740 801 888 890 1068 1110 1184 1332 1335 1424 1440 1480 1602 1665 1776 1780 2136 2220 2664 2670 2848 2960 3204 3293 3330 3552 3560 4005 4272 4440 5328 5340 5920 6408 6586 6660 7120 8010 8544 8880 9879 10656 10680 12816 13172 13320 14240 16020 16465 17760 19758 21360 25632 26344 26640 29637 32040 32930 39516 42720 49395 52688 53280 59274 64080 65860 79032 98790 105376 118548 128160 131720 148185 158064 197580 237096 263440 296370 316128 395160 474192 526880 592740 790320 948384 1185480 1580640 2370960 4741920