Search a number
-
+
40935960 = 23325138747
BaseRepresentation
bin1001110000101…
…0001000011000
32212000202120200
42130022020120
540434422320
64021222200
71004643552
oct234121030
985022520
1040935960
112111a87a
1211861960
138633880
1456184d2
1538d9290
hex270a218

40935960 has 96 divisors (see below), whose sum is σ = 143292240. Its totient is φ = 10075392.

The previous prime is 40935959. The next prime is 40935967. The reversal of 40935960 is 6953904.

It is a super-2 number, since 2×409359602 = 3351505642243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40935967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307 + ... + 9053.

Almost surely, 240935960 is an apocalyptic number.

40935960 is a gapful number since it is divisible by the number (40) 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 40935960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71646120).

40935960 is an abundant number, since it is smaller than the sum of its proper divisors (102356280).

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

40935960 is a wasteful number, since it uses less digits than its factorization.

40935960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 40935960 is about 6398.1215993446. The cubic root of 40935960 is about 344.6420989131.

The spelling of 40935960 in words is "forty million, nine hundred thirty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 8747 17494 26241 34988 43735 52482 69976 78723 87470 104964 113711 131205 157446 174940 209928 227422 262410 314892 341133 349880 393615 454844 524820 568555 629784 682266 787230 909688 1023399 1049640 1137110 1364532 1574460 1705665 2046798 2274220 2729064 3148920 3411330 4093596 4548440 5116995 6822660 8187192 10233990 13645320 20467980 40935960