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40187040 = 2535292887
BaseRepresentation
bin1001100101001…
…1010010100000
32210121201020220
42121103102200
540241441130
63553203040
7665404245
oct231232240
983551226
1040187040
1120759133
1211560480
138430a1a
1454a15cc
1537dc410
hex26534a0

40187040 has 96 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 10343424.

The previous prime is 40187027. The next prime is 40187051. The reversal of 40187040 is 4078104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401870402 = 3229996367923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40187040.

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, 12477 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 240187040 is an apocalyptic number.

40187040 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 40187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

40187040 is an abundant number, since it is smaller than the sum of its proper divisors (90812640).

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

40187040 is a wasteful number, since it uses less digits than its factorization.

40187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40187040 is about 6339.3248851909. The cubic root of 40187040 is about 342.5274171314.

The spelling of 40187040 in words is "forty million, one hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 2887 3480 4640 5774 6960 8661 11548 13920 14435 17322 23096 28870 34644 43305 46192 57740 69288 83723 86610 92384 115480 138576 167446 173220 230960 251169 277152 334892 346440 418615 461920 502338 669784 692880 837230 1004676 1255845 1339568 1385760 1674460 2009352 2511690 2679136 3348920 4018704 5023380 6697840 8037408 10046760 13395680 20093520 40187040