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1960420 = 2257111967
BaseRepresentation
bin111011110100111100100
310200121012011
413132213210
51000213140
6110004004
722443340
oct7364744
93617164
101960420
111119990
127a6604
13538417
14390620
1528acea
hex1de9e4

1960420 has 96 divisors (see below), whose sum is σ = 5483520. Its totient is φ = 570240.

The previous prime is 1960397. The next prime is 1960421. The reversal of 1960420 is 240691.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1960391 and 1960400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29227 + ... + 29293.

It is an arithmetic number, because the mean of its divisors is an integer number (57120).

21960420 is an apocalyptic number.

1960420 is a gapful number since it is divisible by the number (10) 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 1960420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741760).

1960420 is an abundant number, since it is smaller than the sum of its proper divisors (3523100).

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

1960420 is a wasteful number, since it uses less digits than its factorization.

1960420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1960420 is about 1400.1499919651. The cubic root of 1960420 is about 125.1554333104.

The spelling of 1960420 in words is "one million, nine hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 67 70 76 77 95 110 133 134 140 154 190 209 220 266 268 308 335 380 385 418 469 532 665 670 737 770 836 938 1045 1273 1330 1340 1463 1474 1540 1876 2090 2345 2546 2660 2926 2948 3685 4180 4690 5092 5159 5852 6365 7315 7370 8911 9380 10318 12730 14003 14630 14740 17822 20636 25460 25795 28006 29260 35644 44555 51590 56012 70015 89110 98021 103180 140030 178220 196042 280060 392084 490105 980210 1960420