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94125940 = 225171012741
BaseRepresentation
bin1011001110000…
…11111101110100
320120010002111221
411213003331310
5143044012230
613201240124
72222025436
oct547037564
9216102457
1094125940
114914a237
1227633044
1316667c2c
14c702656
1583e427a
hex59c3f74

94125940 has 48 divisors (see below), whose sum is σ = 211441104. Its totient is φ = 35072000.

The previous prime is 94125937. The next prime is 94125979. The reversal of 94125940 is 4952149.

It can be written as a sum of positive squares in 8 ways, for example, as 6441444 + 87684496 = 2538^2 + 9364^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 94125896 and 94125905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32970 + ... + 35710.

It is an arithmetic number, because the mean of its divisors is an integer number (4405023).

Almost surely, 294125940 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 94125940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105720552).

94125940 is an abundant number, since it is smaller than the sum of its proper divisors (117315164).

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

94125940 is a wasteful number, since it uses less digits than its factorization.

94125940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 94125940 is about 9701.8524004439. The cubic root of 94125940 is about 454.8865635179.

The spelling of 94125940 in words is "ninety-four million, one hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 2741 3434 5482 6868 8585 10964 13705 17170 27410 34340 46597 54820 93194 186388 232985 276841 465970 553682 931940 1107364 1384205 2768410 4706297 5536820 9412594 18825188 23531485 47062970 94125940