Search a number
-
+
100121640 = 23351943913
BaseRepresentation
bin1011111011110…
…11110000101000
320222101201001220
411331323300220
5201112343030
613533542040
72324006553
oct575736050
9228351056
10100121640
1151574963
1229644920
1317986c98
14d42369a
158bcaa10
hex5f7bc28

100121640 has 64 divisors (see below), whose sum is σ = 316180800. Its totient is φ = 25293312.

The previous prime is 100121639. The next prime is 100121669. The reversal of 100121640 is 46121001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 19677 + ... + 24236.

It is an arithmetic number, because the mean of its divisors is an integer number (4940325).

Almost surely, 2100121640 is an apocalyptic number.

100121640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121640 is an abundant number, since it is smaller than the sum of its proper divisors (216059160).

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

100121640 is a wasteful number, since it uses less digits than its factorization.

100121640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43946 (or 43942 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100121640 is about 10006.0801515878. The cubic root of 100121640 is about 464.3470080588.

Adding to 100121640 its reverse (46121001), we get a palindrome (146242641).

The spelling of 100121640 in words is "one hundred million, one hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 43913 87826 131739 175652 219565 263478 351304 439130 526956 658695 834347 878260 1053912 1317390 1668694 1756520 2503041 2634780 3337388 4171735 5006082 5269560 6674776 8343470 10012164 12515205 16686940 20024328 25030410 33373880 50060820 100121640