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75194420 = 225722772
BaseRepresentation
bin1000111101101…
…10000000110100
312020111021100112
410132312000310
5123222210140
611243402152
71602066500
oct436660064
9166437315
1075194420
1139499754
1221223358
1312769c52
149db5300
156904c65
hex47b6034

75194420 has 54 divisors (see below), whose sum is σ = 184354758. Its totient is φ = 25687872.

The previous prime is 75194411. The next prime is 75194423. The reversal of 75194420 is 2449157.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 75099556 = 308^2 + 8666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75194423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 271322 + ... + 271598.

It is an arithmetic number, because the mean of its divisors is an integer number (3413977).

Almost surely, 275194420 is an apocalyptic number.

75194420 is a gapful number since it is divisible by the number (70) 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 75194420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92177379).

75194420 is an abundant number, since it is smaller than the sum of its proper divisors (109160338).

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

75194420 is a wasteful number, since it uses less digits than its factorization.

75194420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 75194420 is about 8671.4716167442. The cubic root of 75194420 is about 422.0804186265.

The spelling of 75194420 in words is "seventy-five million, one hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 277 490 554 980 1108 1385 1939 2770 3878 5540 7756 9695 13573 19390 27146 38780 54292 67865 76729 135730 153458 271460 306916 383645 537103 767290 1074206 1534580 2148412 2685515 3759721 5371030 7519442 10742060 15038884 18798605 37597210 75194420