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4740031920 = 2435135772633
BaseRepresentation
bin1000110101000011…
…10010010110110000
3110020100012120101210
410122201302112300
534201422010140
62102203200120
7225314415021
oct43241622660
913210176353
104740031920
112012696158
12b03516040
135a7039020
1432d74cc48
151cb203d80
hex11a8725b0

4740031920 has 160 divisors (see below), whose sum is σ = 15857860032. Its totient is φ = 1164312576.

The previous prime is 4740031913. The next prime is 4740031931. The reversal of 4740031920 is 291300474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798924 + ... + 1801556.

Almost surely, 24740031920 is an apocalyptic number.

4740031920 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 4740031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928930016).

4740031920 is an abundant number, since it is smaller than the sum of its proper divisors (11117828112).

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

4740031920 is a wasteful number, since it uses less digits than its factorization.

4740031920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4740031920 is about 68847.8897280084. The cubic root of 4740031920 is about 1679.8110048165.

The spelling of 4740031920 in words is "four billion, seven hundred forty million, thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 577 624 780 1040 1154 1560 1731 2308 2633 2885 3120 3462 4616 5266 5770 6924 7501 7899 8655 9232 10532 11540 13165 13848 15002 15798 17310 21064 22503 23080 26330 27696 30004 31596 34229 34620 37505 39495 42128 45006 46160 52660 60008 63192 68458 69240 75010 78990 90012 102687 105320 112515 120016 126384 136916 138480 150020 157980 171145 180024 205374 210640 225030 273832 300040 315960 342290 360048 410748 450060 513435 547664 600080 631920 684580 821496 900120 1026870 1369160 1519241 1642992 1800240 2053740 2738320 3038482 4107480 4557723 6076964 7596205 8214960 9115446 12153928 15192410 18230892 19750133 22788615 24307856 30384820 36461784 39500266 45577230 59250399 60769640 72923568 79000532 91154460 98750665 118500798 121539280 158001064 182308920 197501330 237001596 296251995 316002128 364617840 395002660 474003192 592503990 790005320 948006384 1185007980 1580010640 2370015960 4740031920