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1942416 = 243274147
BaseRepresentation
bin111011010001110010000
310122200111100
413122032100
5444124131
6105344400
722340010
oct7321620
93580440
101942416
111107403
12798100
13530178
14387c40
152857e6
hex1da390

1942416 has 120 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 529920.

The previous prime is 1942411. The next prime is 1942417. The reversal of 1942416 is 6142491.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1942416.

It is not an unprimeable number, because it can be changed into a prime (1942411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41305 + ... + 41351.

21942416 is an apocalyptic number.

1942416 is a gapful number since it is divisible by the number (16) 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 1942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

1942416 is an abundant number, since it is smaller than the sum of its proper divisors (4557168).

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

1942416 is a wasteful number, since it uses less digits than its factorization.

1942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1942416 is about 1393.7058513187. The cubic root of 1942416 is about 124.7711225099.

The spelling of 1942416 in words is "one million, nine hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 47 48 56 63 72 82 84 94 112 123 126 141 144 164 168 188 246 252 282 287 328 329 336 369 376 423 492 504 564 574 656 658 738 752 846 861 984 987 1008 1128 1148 1316 1476 1692 1722 1927 1968 1974 2256 2296 2583 2632 2952 2961 3384 3444 3854 3948 4592 5166 5264 5781 5904 5922 6768 6888 7708 7896 10332 11562 11844 13489 13776 15416 15792 17343 20664 23124 23688 26978 30832 34686 40467 41328 46248 47376 53956 69372 80934 92496 107912 121401 138744 161868 215824 242802 277488 323736 485604 647472 971208 1942416