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670370040 = 233353120023
BaseRepresentation
bin100111111101010…
…000100011111000
31201201102022211000
4213331100203320
52333103320130
6150304205000
722420023414
oct4775204370
91651368730
10670370040
11314451a2a
12168609760
13a8b66982
1465063d44
153dcbd260
hex27f508f8

670370040 has 128 divisors (see below), whose sum is σ = 2306764800. Its totient is φ = 172990080.

The previous prime is 670370039. The next prime is 670370069. The reversal of 670370040 is 40073076.

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

It is a junction number, because it is equal to n+sod(n) for n = 670369986 and 670370013.

It is a congruent number.

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, 23469 + ... + 43491.

It is an arithmetic number, because the mean of its divisors is an integer number (18021600).

Almost surely, 2670370040 is an apocalyptic number.

670370040 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 670370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153382400).

670370040 is an abundant number, since it is smaller than the sum of its proper divisors (1636394760).

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

670370040 is a wasteful number, since it uses less digits than its factorization.

670370040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20074 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 670370040 is about 25891.5051706153. The cubic root of 670370040 is about 875.1950759615.

The spelling of 670370040 in words is "six hundred seventy million, three hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 20023 33480 40046 60069 80092 100115 120138 160184 180207 200230 240276 300345 360414 400460 480552 540621 600690 620713 720828 800920 901035 1081242 1201380 1241426 1441656 1802070 1862139 2162484 2402760 2482852 2703105 3103565 3604140 3724278 4324968 4965704 5406210 5586417 6207130 7208280 7448556 9310695 10812420 11172834 12414260 14897112 16759251 18621390 21624840 22345668 24828520 27932085 33518502 37242780 44691336 55864170 67037004 74485560 83796255 111728340 134074008 167592510 223456680 335185020 670370040