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4735940 = 22511219103
BaseRepresentation
bin10010000100001111000100
322220121111012
4102010033010
52203022230
6245301352
755153256
oct22041704
98817435
104735940
112745200
121704858
13c9a841
148b3cd6
15638395
hex4843c4

4735940 has 72 divisors (see below), whose sum is σ = 11618880. Its totient is φ = 1615680.

The previous prime is 4735937. The next prime is 4735967. The reversal of 4735940 is 495374.

It is a junction number, because it is equal to n+sod(n) for n = 4735897 and 4735906.

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, 45929 + ... + 46031.

Almost surely, 24735940 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 4735940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809440).

4735940 is an abundant number, since it is smaller than the sum of its proper divisors (6882940).

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

4735940 is a wasteful number, since it uses less digits than its factorization.

4735940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 4735940 is about 2176.2214960798. The cubic root of 4735940 is about 167.9327489709.

The spelling of 4735940 in words is "four million, seven hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 103 110 121 190 206 209 220 242 380 412 418 484 515 605 836 1030 1045 1133 1210 1957 2060 2090 2266 2299 2420 3914 4180 4532 4598 5665 7828 9196 9785 11330 11495 12463 19570 21527 22660 22990 24926 39140 43054 45980 49852 62315 86108 107635 124630 215270 236797 249260 430540 473594 947188 1183985 2367970 4735940