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87883740 = 223257193671
BaseRepresentation
bin1010011110011…
…11111111011100
320010100221211100
411033033333130
5134444234430
612415353100
72114666550
oct517177734
9203327740
1087883740
114567639a
1225522790
1315290919
14b959860
157aae960
hex53cffdc

87883740 has 144 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 19025280.

The previous prime is 87883739. The next prime is 87883753. The reversal of 87883740 is 4738878.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22105 + ... + 25775.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 287883740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87883740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

87883740 is an abundant number, since it is smaller than the sum of its proper divisors (232902180).

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

87883740 is a wasteful number, since it uses less digits than its factorization.

87883740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 87883740 is about 9374.6327928085. The cubic root of 87883740 is about 444.6000530583.

The spelling of 87883740 in words is "eighty-seven million, eight hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3671 3990 4788 5985 7342 7980 11013 11970 14684 18355 22026 23940 25697 33039 36710 44052 51394 55065 66078 69749 73420 77091 102788 110130 128485 132156 139498 154182 165195 209247 220260 231273 256970 278996 308364 330390 348745 385455 418494 462546 488243 513940 627741 660780 697490 770910 836988 925092 976486 1046235 1156365 1255482 1394980 1464729 1541820 1952972 2092470 2312730 2441215 2510964 2929458 3138705 4184940 4394187 4625460 4882430 5858916 6277410 7323645 8788374 9764860 12554820 14647290 17576748 21970935 29294580 43941870 87883740