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4076640 = 2532519149
BaseRepresentation
bin1111100011010001100000
321200010002200
433203101200
52020423030
6223213200
746436151
oct17432140
97603080
104076640
112334927
121447200
13ac9719
14781928
15557d60
hex3e3460

4076640 has 144 divisors (see below), whose sum is σ = 14742000. Its totient is φ = 1022976.

The previous prime is 4076629. The next prime is 4076641. The reversal of 4076640 is 466704.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27286 + ... + 27434.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

Almost surely, 24076640 is an apocalyptic number.

4076640 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 4076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371000).

4076640 is an abundant number, since it is smaller than the sum of its proper divisors (10665360).

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

4076640 is a wasteful number, since it uses less digits than its factorization.

4076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4076640 is about 2019.0690924285. The cubic root of 4076640 is about 159.7475184579.

The spelling of 4076640 in words is "four million, seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 149 152 160 171 180 190 228 240 285 288 298 304 342 360 380 447 456 480 570 596 608 684 720 745 760 855 894 912 1140 1192 1341 1368 1440 1490 1520 1710 1788 1824 2235 2280 2384 2682 2736 2831 2980 3040 3420 3576 4470 4560 4768 5364 5472 5662 5960 6705 6840 7152 8493 8940 9120 10728 11324 11920 13410 13680 14155 14304 16986 17880 21456 22648 23840 25479 26820 27360 28310 33972 35760 42465 42912 45296 50958 53640 56620 67944 71520 84930 90592 101916 107280 113240 127395 135888 169860 203832 214560 226480 254790 271776 339720 407664 452960 509580 679440 815328 1019160 1358880 2038320 4076640