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1992346440 = 233573176511
BaseRepresentation
bin111011011000000…
…1100101101001000
312010211221200111220
41312300030231020
513040020041230
6525410522040
7100241444130
oct16660145510
95124850456
101992346440
1193269a407
12477296320
132599c7826
1414c865ac0
15b9d9ed10
hex76c0cb48

1992346440 has 128 divisors (see below), whose sum is σ = 7051345920. Its totient is φ = 440697600.

The previous prime is 1992346427. The next prime is 1992346469. The reversal of 1992346440 is 446432991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1992346392 and 1992346401.

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, 12216 + ... + 64295.

It is an arithmetic number, because the mean of its divisors is an integer number (55088640).

Almost surely, 21992346440 is an apocalyptic number.

1992346440 is a gapful number since it is divisible by the number (10) 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 1992346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525672960).

1992346440 is an abundant number, since it is smaller than the sum of its proper divisors (5058999480).

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

1992346440 is a wasteful number, since it uses less digits than its factorization.

1992346440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76563 (or 76559 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1992346440 is about 44635.7081270142. The cubic root of 1992346440 is about 1258.3118485677.

The spelling of 1992346440 in words is "one billion, nine hundred ninety-two million, three hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 76511 153022 229533 306044 382555 459066 535577 612088 765110 918132 1071154 1147665 1530220 1606731 1836264 2142308 2295330 2371841 2677885 3060440 3213462 4284616 4590660 4743682 5355770 6426924 7115523 8033655 9181320 9487364 10711540 11859205 12853848 14231046 16067310 16602887 18974728 21423080 23718410 28462092 32134620 33205774 35577615 47436820 49808661 56924184 64269240 66411548 71155230 83014435 94873640 99617322 132823096 142310460 166028870 199234644 249043305 284620920 332057740 398469288 498086610 664115480 996173220 1992346440