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746375980 = 225747671693
BaseRepresentation
bin101100011111001…
…100101100101100
31221000102211100211
4230133030230230
53012033012410
6202021232204
724332043160
oct5437145454
91830384324
10746375980
11353345359
12189b62664
13bb8290bc
14711aaca0
15457d368a
hex2c7ccb2c

746375980 has 96 divisors (see below), whose sum is σ = 1857816576. Its totient is φ = 246571776.

The previous prime is 746375977. The next prime is 746375989. The reversal of 746375980 is 89573647.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (746375989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440014 + ... + 441706.

It is an arithmetic number, because the mean of its divisors is an integer number (19352256).

Almost surely, 2746375980 is an apocalyptic number.

746375980 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 746375980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928908288).

746375980 is an abundant number, since it is smaller than the sum of its proper divisors (1111440596).

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

746375980 is a wasteful number, since it uses less digits than its factorization.

746375980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 746375980 is about 27319.8825034077. The cubic root of 746375980 is about 907.0945371521.

The spelling of 746375980 in words is "seven hundred forty-six million, three hundred seventy-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 67 70 94 134 140 188 235 268 329 335 469 470 658 670 938 940 1316 1340 1645 1693 1876 2345 3149 3290 3386 4690 6298 6580 6772 8465 9380 11851 12596 15745 16930 22043 23702 31490 33860 44086 47404 59255 62980 79571 88172 110215 113431 118510 159142 220430 226862 237020 318284 397855 440860 453724 556997 567155 794017 795710 1113994 1134310 1588034 1591420 2227988 2268620 2784985 3176068 3970085 5331257 5569970 7940170 10662514 11139940 15880340 21325028 26656285 37318799 53312570 74637598 106625140 149275196 186593995 373187990 746375980