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40199680 = 29541383
BaseRepresentation
bin1001100101011…
…0011000000000
32210122100121001
42121112120000
540242342210
63553341344
7665456143
oct231263000
983570531
1040199680
1120767684
1211567854
1384366c1
1454a605a
1537e103a
hex2656600

40199680 has 80 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 15646720.

The previous prime is 40199651. The next prime is 40199689. The reversal of 40199680 is 8699104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40199689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104769 + ... + 105151.

Almost surely, 240199680 is an apocalyptic number.

40199680 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 40199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

40199680 is an abundant number, since it is smaller than the sum of its proper divisors (58793984).

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

40199680 is an equidigital number, since it uses as much as digits as its factorization.

40199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 40199680 is about 6340.3217583968. The cubic root of 40199680 is about 342.5633249988.

The spelling of 40199680 in words is "forty million, one hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 383 410 512 640 656 766 820 1280 1312 1532 1640 1915 2560 2624 3064 3280 3830 5248 6128 6560 7660 10496 12256 13120 15320 15703 20992 24512 26240 30640 31406 49024 52480 61280 62812 78515 98048 104960 122560 125624 157030 196096 245120 251248 314060 490240 502496 628120 980480 1004992 1256240 2009984 2512480 4019968 5024960 8039936 10049920 20099840 40199680