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31842480 = 2435196983
BaseRepresentation
bin111100101111…
…0000010110000
32012220202200010
41321132002300
531122424410
63054254520
7534441135
oct171360260
965822603
1031842480
1116a797aa
12a7b7440
13679b807
14432c58c
152bdec20
hex1e5e0b0

31842480 has 80 divisors (see below), whose sum is σ = 103921920. Its totient is φ = 8043264.

The previous prime is 31842467. The next prime is 31842521. The reversal of 31842480 is 8424813.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069 + ... + 8051.

It is an arithmetic number, because the mean of its divisors is an integer number (1299024).

Almost surely, 231842480 is an apocalyptic number.

31842480 is a gapful number since it is divisible by the number (30) 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 31842480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51960960).

31842480 is an abundant number, since it is smaller than the sum of its proper divisors (72079440).

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

31842480 is a wasteful number, since it uses less digits than its factorization.

31842480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 31842480 is about 5642.9141407610. The cubic root of 31842480 is about 316.9584211737.

The spelling of 31842480 in words is "thirty-one million, eight hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 6983 13966 20949 27932 34915 41898 55864 69830 83796 104745 111728 132677 139660 167592 209490 265354 279320 335184 398031 418980 530708 558640 663385 796062 837960 1061416 1326770 1592124 1675920 1990155 2122832 2653540 3184248 3980310 5307080 6368496 7960620 10614160 15921240 31842480