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3742720 = 21051743
BaseRepresentation
bin1110010001110000000000
321001011001021
432101300000
51424231340
6212115224
743545502
oct16216000
97034037
103742720
112126a63
121305b14
13a10737
146d5d72
154dde4a
hex391c00

3742720 has 88 divisors (see below), whose sum is σ = 9727344. Its totient is φ = 1376256.

The previous prime is 3742709. The next prime is 3742727. The reversal of 3742720 is 272473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87019 + ... + 87061.

It is an arithmetic number, because the mean of its divisors is an integer number (110538).

Almost surely, 23742720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863672).

3742720 is an abundant number, since it is smaller than the sum of its proper divisors (5984624).

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

3742720 is a wasteful number, since it uses less digits than its factorization.

3742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 3742720 is about 1934.6110720246. The cubic root of 3742720 is about 155.2610239354.

The spelling of 3742720 in words is "three million, seven hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 128 136 160 170 172 215 256 272 320 340 344 430 512 544 640 680 688 731 860 1024 1088 1280 1360 1376 1462 1720 2176 2560 2720 2752 2924 3440 3655 4352 5120 5440 5504 5848 6880 7310 8704 10880 11008 11696 13760 14620 17408 21760 22016 23392 27520 29240 43520 44032 46784 55040 58480 87040 93568 110080 116960 187136 220160 233920 374272 467840 748544 935680 1871360 3742720