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203400990 = 233513167347
BaseRepresentation
bin11000001111110…
…10011100011110
3112011201211201000
430013322130132
5404032312430
632103331130
75016610542
oct1407723436
9464654630
10203400990
11a48a61a1
1258150aa6
13331a8320
141d029a22
1512ccbe60
hexc1fa71e

203400990 has 128 divisors (see below), whose sum is σ = 589317120. Its totient is φ = 49624704.

The previous prime is 203400979. The next prime is 203400991. The reversal of 203400990 is 99004302.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203400991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585997 + ... + 586343.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2203400990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203400990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294658560).

203400990 is an abundant number, since it is smaller than the sum of its proper divisors (385916130).

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

203400990 is a wasteful number, since it uses less digits than its factorization.

203400990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 203400990 is about 14261.8718967743. The cubic root of 203400990 is about 588.0997852310.

The spelling of 203400990 in words is "two hundred three million, four hundred thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 167 195 234 270 334 347 351 390 501 585 694 702 835 1002 1041 1170 1503 1670 1735 1755 2082 2171 2505 3006 3123 3470 3510 4342 4509 4511 5010 5205 6246 6513 7515 9018 9022 9369 10410 10855 13026 13533 15030 15615 18738 19539 21710 22545 22555 27066 31230 32565 39078 40599 45090 45110 46845 57949 58617 65130 67665 81198 93690 97695 115898 117234 121797 135330 173847 195390 202995 243594 289745 293085 347694 405990 521541 579490 586170 608985 753337 869235 1043082 1217970 1506674 1564623 1738470 2260011 2607705 3129246 3766685 4520022 5215410 6780033 7533370 7823115 11300055 13560066 15646230 20340099 22600110 33900165 40680198 67800330 101700495 203400990