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10153000 = 2353111371
BaseRepresentation
bin100110101110…
…110000101000
3201002211022001
4212232300220
510044344000
61001340344
7152204404
oct46566050
921084261
1010153000
115805110
1234976b4
1321463c0
1414c4104
15d5846a
hex9aec28

10153000 has 128 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3360000.

The previous prime is 10152997. The next prime is 10153007. The reversal of 10153000 is 35101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10153007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 142965 + ... + 143035.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 210153000 is an apocalyptic number.

10153000 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 10153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

10153000 is an abundant number, since it is smaller than the sum of its proper divisors (18151640).

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

10153000 is a wasteful number, since it uses less digits than its factorization.

10153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10153000 is about 3186.3772532454. The cubic root of 10153000 is about 216.5366741613.

Adding to 10153000 its reverse (35101), we get a palindrome (10188101).

The spelling of 10153000 in words is "ten million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 71 88 100 104 110 125 130 142 143 200 220 250 260 275 284 286 325 355 440 500 520 550 568 572 650 710 715 781 923 1000 1100 1144 1300 1375 1420 1430 1562 1625 1775 1846 2200 2600 2750 2840 2860 3124 3250 3550 3575 3692 3905 4615 5500 5720 6248 6500 7100 7150 7384 7810 8875 9230 10153 11000 13000 14200 14300 15620 17750 17875 18460 19525 20306 23075 28600 31240 35500 35750 36920 39050 40612 46150 50765 71000 71500 78100 81224 92300 97625 101530 115375 143000 156200 184600 195250 203060 230750 253825 390500 406120 461500 507650 781000 923000 1015300 1269125 2030600 2538250 5076500 10153000