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103023000 = 23325311447
BaseRepresentation
bin1100010010000…
…00000110011000
321011212002222200
412021000012120
5202333214000
614120050200
72360452413
oct611000630
9234762880
10103023000
1153176783
122a603960
1318461772
14d97ab7a
1590a0500
hex6240198

103023000 has 96 divisors (see below), whose sum is σ = 348248160. Its totient is φ = 27470400.

The previous prime is 103022999. The next prime is 103023007. The reversal of 103023000 is 320301.

It is a happy number.

It is a super-2 number, since 2×1030230002 = 21227477058000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103023007) 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, 3277 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (3627585).

Almost surely, 2103023000 is an apocalyptic number.

103023000 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 103023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174124080).

103023000 is an abundant number, since it is smaller than the sum of its proper divisors (245225160).

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

103023000 is a wasteful number, since it uses less digits than its factorization.

103023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 103023000 is about 10150.0246305120. The cubic root of 103023000 is about 468.7897033037.

Adding to 103023000 its reverse (320301), we get a palindrome (103343301).

The spelling of 103023000 in words is "one hundred three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 11447 22894 34341 45788 57235 68682 91576 103023 114470 137364 171705 206046 228940 274728 286175 343410 412092 457880 515115 572350 686820 824184 858525 1030230 1144700 1373640 1430875 1717050 2060460 2289400 2575575 2861750 3434100 4120920 4292625 5151150 5723500 6868200 8585250 10302300 11447000 12877875 17170500 20604600 25755750 34341000 51511500 103023000