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200124240 = 24351077793
BaseRepresentation
bin10111110110110…
…10011101010000
3111221120100211220
423323122131100
5402212433430
631505205040
74650012411
oct1373323520
9457510756
10200124240
11a2a68338
1257030780
13325cba14
141c815808
1512881110
hexbeda750

200124240 has 80 divisors (see below), whose sum is σ = 626263488. Its totient is φ = 52860928.

The previous prime is 200124229. The next prime is 200124259. The reversal of 200124240 is 42421002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2001242402 = 80099422871155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21784 + ... + 29576.

Almost surely, 2200124240 is an apocalyptic number.

200124240 is a gapful number since it is divisible by the number (20) 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 200124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313131744).

200124240 is an abundant number, since it is smaller than the sum of its proper divisors (426139248).

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

200124240 is a wasteful number, since it uses less digits than its factorization.

200124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 200124240 is about 14146.5274891049. The cubic root of 200124240 is about 584.9246158981.

Adding to 200124240 its reverse (42421002), we get a palindrome (242545242).

The spelling of 200124240 in words is "two hundred million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 7793 8560 12840 15586 23379 25680 31172 38965 46758 62344 77930 93516 116895 124688 155860 187032 233790 311720 374064 467580 623440 833851 935160 1667702 1870320 2501553 3335404 4169255 5003106 6670808 8338510 10006212 12507765 13341616 16677020 20012424 25015530 33354040 40024848 50031060 66708080 100062120 200124240