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94120000 = 265413181
BaseRepresentation
bin1011001110000…
…10100001000000
320120002210100221
411213002201000
5143043320000
613201152424
72222002222
oct547024100
9216083327
1094120000
1149145827
122762b714
1316665310
14c700412
1583e261a
hex59c2840

94120000 has 140 divisors (see below), whose sum is σ = 252728476. Its totient is φ = 34560000.

The previous prime is 94119989. The next prime is 94120003. The reversal of 94120000 is 2149.

94120000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 10 ways, for example, as 94012416 + 107584 = 9696^2 + 328^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (94120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519910 + ... + 520090.

Almost surely, 294120000 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 94120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126364238).

94120000 is an abundant number, since it is smaller than the sum of its proper divisors (158608476).

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

94120000 is a wasteful number, since it uses less digits than its factorization.

94120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 94120000 is about 9701.5462685079. The cubic root of 94120000 is about 454.8769944836.

Adding to 94120000 its reverse (2149), we get a palindrome (94122149).

The spelling of 94120000 in words is "ninety-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 181 200 208 250 260 320 325 362 400 416 500 520 625 650 724 800 832 905 1000 1040 1250 1300 1448 1600 1625 1810 2000 2080 2353 2500 2600 2896 3250 3620 4000 4160 4525 4706 5000 5200 5792 6500 7240 8000 8125 9050 9412 10000 10400 11584 11765 13000 14480 16250 18100 18824 20000 20800 22625 23530 26000 28960 32500 36200 37648 40000 45250 47060 52000 57920 58825 65000 72400 75296 90500 94120 104000 113125 117650 130000 144800 150592 181000 188240 226250 235300 260000 289600 294125 362000 376480 452500 470600 520000 588250 724000 752960 905000 941200 1176500 1448000 1470625 1810000 1882400 2353000 2941250 3620000 3764800 4706000 5882500 7240000 9412000 11765000 18824000 23530000 47060000 94120000