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431026680 = 233571313917
BaseRepresentation
bin11001101100001…
…111000111111000
31010001001102110010
4121230033013320
51340320323210
6110434221520
713452444360
oct3154170770
91101042403
10431026680
112013377a7
121004248a0
136b3b5996
144135d9a0
1527c91920
hex19b0f1f8

431026680 has 128 divisors (see below), whose sum is σ = 1489466880. Its totient is φ = 97743360.

The previous prime is 431026679. The next prime is 431026747. The reversal of 431026680 is 86620134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108082 + ... + 111998.

It is an arithmetic number, because the mean of its divisors is an integer number (11636460).

Almost surely, 2431026680 is an apocalyptic number.

431026680 is a gapful number since it is divisible by the number (40) 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 431026680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744733440).

431026680 is an abundant number, since it is smaller than the sum of its proper divisors (1058440200).

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

431026680 is a wasteful number, since it uses less digits than its factorization.

431026680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 431026680 is about 20761.1820472727. The cubic root of 431026680 is about 755.3844685992.

The spelling of 431026680 in words is "four hundred thirty-one million, twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1310 1572 1834 1965 2620 2751 3144 3668 3917 3930 4585 5240 5502 7336 7834 7860 9170 11004 11751 13755 15668 15720 18340 19585 22008 23502 27419 27510 31336 36680 39170 47004 54838 55020 58755 78340 82257 94008 109676 110040 117510 137095 156680 164514 219352 235020 274190 329028 411285 470040 513127 548380 658056 822570 1026254 1096760 1539381 1645140 2052508 2565635 3078762 3290280 3591889 4105016 5131270 6157524 7183778 7696905 10262540 10775667 12315048 14367556 15393810 17959445 20525080 21551334 28735112 30787620 35918890 43102668 53878335 61575240 71837780 86205336 107756670 143675560 215513340 431026680