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6470940 = 2235723171
BaseRepresentation
bin11000101011110100011100
3110011202110110
4120223310130
53124032230
6350410020
7106000500
oct30536434
913152413
106470940
11371a793
122200910
131457478
14c06300
1587c4b0
hex62bd1c

6470940 has 144 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 1411200.

The previous prime is 6470903. The next prime is 6470951. The reversal of 6470940 is 490746.

6470940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 6470898 and 6470907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91105 + ... + 91175.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 26470940 is an apocalyptic number.

6470940 is a gapful number since it is divisible by the number (60) 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 6470940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

6470940 is an abundant number, since it is smaller than the sum of its proper divisors (15592164).

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

6470940 is a wasteful number, since it uses less digits than its factorization.

6470940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6470940 is about 2543.8042377510. The cubic root of 6470940 is about 186.3470224044.

The spelling of 6470940 in words is "six million, four hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 71 84 93 98 105 124 140 142 147 155 186 196 210 213 217 245 284 294 310 355 372 420 426 434 465 490 497 588 620 651 710 735 852 868 930 980 994 1065 1085 1302 1420 1470 1491 1519 1860 1988 2130 2170 2201 2485 2604 2940 2982 3038 3255 3479 4260 4340 4402 4557 4970 5964 6076 6510 6603 6958 7455 7595 8804 9114 9940 10437 11005 13020 13206 13916 14910 15190 15407 17395 18228 20874 22010 22785 26412 29820 30380 30814 33015 34790 41748 44020 45570 46221 52185 61628 66030 69580 77035 91140 92442 104370 107849 132060 154070 184884 208740 215698 231105 308140 323547 431396 462210 539245 647094 924420 1078490 1294188 1617735 2156980 3235470 6470940