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70010400 = 2535231941
BaseRepresentation
bin1000010110001…
…00011000100000
311212201220012210
410023010120200
5120410313100
610540322120
71510035645
oct413043040
9155656183
1070010400
1136578939
121b543340
1311673495
149425dcc
15622dc50
hex42c4620

70010400 has 144 divisors (see below), whose sum is σ = 235484928. Its totient is φ = 18048000.

The previous prime is 70010399. The next prime is 70010441. The reversal of 70010400 is 401007.

It is a super-2 number, since 2×700104002 = 9802912216320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73930 + ... + 74870.

It is an arithmetic number, because the mean of its divisors is an integer number (1635312).

Almost surely, 270010400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117742464).

70010400 is an abundant number, since it is smaller than the sum of its proper divisors (165474528).

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

70010400 is a wasteful number, since it uses less digits than its factorization.

70010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 70010400 is about 8367.2217611343. The cubic root of 70010400 is about 412.1489391450.

Adding to 70010400 its reverse (401007), we get a palindrome (70411407).

The spelling of 70010400 in words is "seventy million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 75 80 93 96 100 120 124 150 155 160 186 200 240 248 300 310 372 400 465 480 496 600 620 744 775 800 930 941 992 1200 1240 1488 1550 1860 1882 2325 2400 2480 2823 2976 3100 3720 3764 4650 4705 4960 5646 6200 7440 7528 9300 9410 11292 12400 14115 14880 15056 18600 18820 22584 23525 24800 28230 29171 30112 37200 37640 45168 47050 56460 58342 70575 74400 75280 87513 90336 94100 112920 116684 141150 145855 150560 175026 188200 225840 233368 282300 291710 350052 376400 437565 451680 466736 564600 583420 700104 729275 752800 875130 933472 1129200 1166840 1400208 1458550 1750260 2187825 2258400 2333680 2800416 2917100 3500520 4375650 4667360 5834200 7001040 8751300 11668400 14002080 17502600 23336800 35005200 70010400