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40670640 = 2433519991
BaseRepresentation
bin1001101100100…
…1010110110000
32211112021122000
42123021112300
540402430030
64011414000
71002460203
oct233112660
984467560
1040670640
1120a594aa
1211754300
13856cb8a
14558993a
153885860
hex26c95b0

40670640 has 160 divisors (see below), whose sum is σ = 147609600. Its totient is φ = 10264320.

The previous prime is 40670599. The next prime is 40670657. The reversal of 40670640 is 4607604.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40545 + ... + 41535.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 240670640 is an apocalyptic number.

40670640 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 40670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73804800).

40670640 is an abundant number, since it is smaller than the sum of its proper divisors (106938960).

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

40670640 is a wasteful number, since it uses less digits than its factorization.

40670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

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

The square root of 40670640 is about 6377.3536831510. The cubic root of 40670640 is about 343.8959032423.

The spelling of 40670640 in words is "forty million, six hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 991 1026 1080 1140 1368 1520 1710 1982 2052 2160 2280 2565 2736 2973 3420 3964 4104 4560 4955 5130 5946 6840 7928 8208 8919 9910 10260 11892 13680 14865 15856 17838 18829 19820 20520 23784 26757 29730 35676 37658 39640 41040 44595 47568 53514 56487 59460 71352 75316 79280 89190 94145 107028 112974 118920 133785 142704 150632 169461 178380 188290 214056 225948 237840 267570 282435 301264 338922 356760 376580 428112 451896 508383 535140 564870 677844 713520 753160 847305 903792 1016766 1070280 1129740 1355688 1506320 1694610 2033532 2140560 2259480 2541915 2711376 3389220 4067064 4518960 5083830 6778440 8134128 10167660 13556880 20335320 40670640