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26742150 = 235523171
BaseRepresentation
bin110011000000…
…0110110000110
31212022122100000
41212000312012
523321222100
62353102130
7443206311
oct146006606
955278300
1026742150
1114105856
128b57946
135704176
1437a1978
152533900
hex1980d86

26742150 has 144 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 6804000.

The previous prime is 26742137. The next prime is 26742151. The reversal of 26742150 is 5124762.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26742151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376615 + ... + 376685.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 226742150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26742150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

26742150 is an abundant number, since it is smaller than the sum of its proper divisors (51252858).

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

26742150 is a wasteful number, since it uses less digits than its factorization.

26742150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 26742150 is about 5171.2812725668. The cubic root of 26742150 is about 299.0419436839.

The spelling of 26742150 in words is "twenty-six million, seven hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 71 75 81 90 93 135 142 150 155 162 186 213 225 243 270 279 310 355 405 426 450 465 486 558 639 675 710 775 810 837 930 1065 1215 1278 1350 1395 1550 1674 1775 1917 2025 2130 2201 2325 2430 2511 2790 3195 3550 3834 4050 4185 4402 4650 5022 5325 5751 6075 6390 6603 6975 7533 8370 9585 10650 11005 11502 12150 12555 13206 13950 15066 15975 17253 19170 19809 20925 22010 25110 28755 31950 33015 34506 37665 39618 41850 47925 55025 57510 59427 62775 66030 75330 86265 95850 99045 110050 118854 125550 143775 165075 172530 178281 188325 198090 287550 297135 330150 356562 376650 431325 495225 534843 594270 862650 891405 990450 1069686 1485675 1782810 2674215 2971350 4457025 5348430 8914050 13371075 26742150