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103070000 = 245411937
BaseRepresentation
bin1100010010010…
…11100100110000
321011221111110102
412021023210300
5202341220000
614121051532
72361036425
oct611134460
9234844412
10103070000
11531a9020
122a626ba8
1318479c87
14d98dd4c
1590ae3d5
hex624b930

103070000 has 100 divisors (see below), whose sum is σ = 272519016. Its totient is φ = 37440000.

The previous prime is 103069979. The next prime is 103070017. The reversal of 103070000 is 70301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109532 + ... + 110468.

Almost surely, 2103070000 is an apocalyptic number.

103070000 is a gapful number since it is divisible by the number (10) 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 103070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136259508).

103070000 is an abundant number, since it is smaller than the sum of its proper divisors (169449016).

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

103070000 is an equidigital number, since it uses as much as digits as its factorization.

103070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 103070000 is about 10152.3396318287. The cubic root of 103070000 is about 468.8609811295.

The spelling of 103070000 in words is "one hundred three million, seventy thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 937 1000 1100 1250 1375 1874 2000 2200 2500 2750 3748 4400 4685 5000 5500 6875 7496 9370 10000 10307 11000 13750 14992 18740 20614 22000 23425 27500 37480 41228 46850 51535 55000 74960 82456 93700 103070 110000 117125 164912 187400 206140 234250 257675 374800 412280 468500 515350 585625 824560 937000 1030700 1171250 1288375 1874000 2061400 2342500 2576750 4122800 4685000 5153500 6441875 9370000 10307000 12883750 20614000 25767500 51535000 103070000