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75040020 = 22345114211
BaseRepresentation
bin1000111100100…
…00010100010100
312020012102120000
410132100110110
5123202240040
611240211300
71600554366
oct436202424
9166172500
1075040020
11393a3750
1221169b30
13127148a3
149d74d36
1568c4130
hex4790514

75040020 has 120 divisors (see below), whose sum is σ = 256864608. Its totient is φ = 18187200.

The previous prime is 75040013. The next prime is 75040027. The reversal of 75040020 is 2004057.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75040013) and next prime (75040027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 75039975 and 75040002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75040027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15715 + ... + 19925.

Almost surely, 275040020 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 75040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432304).

75040020 is an abundant number, since it is smaller than the sum of its proper divisors (181824588).

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

75040020 is a wasteful number, since it uses less digits than its factorization.

75040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 75040020 is about 8662.5642854758. The cubic root of 75040020 is about 421.7913285915.

Adding to 75040020 its reverse (2004057), we get a palindrome (77044077).

The spelling of 75040020 in words is "seventy-five million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4211 4455 5940 8422 8910 12633 16844 17820 21055 25266 37899 42110 46321 50532 63165 75798 84220 92642 113697 126330 138963 151596 185284 189495 227394 231605 252660 277926 341091 378990 416889 454788 463210 555852 568485 682182 694815 757980 833778 926420 1136970 1250667 1364364 1389630 1667556 1705455 2084445 2273940 2501334 2779260 3410910 3752001 4168890 5002668 6253335 6821820 7504002 8337780 12506670 15008004 18760005 25013340 37520010 75040020