[go: up one dir, main page]

Search a number
-
+
1010007000 = 233253112223
BaseRepresentation
bin111100001100110…
…111101111011000
32121101111200010200
4330030313233120
54032030211000
6244115542200
734012626552
oct7414675730
92541450120
101010007000
11479139232
122422ba960
13131331ca2
14981d44d2
155da0b500
hex3c337bd8

1010007000 has 96 divisors (see below), whose sum is σ = 3413854080. Its totient is φ = 269332800.

The previous prime is 1010006947. The next prime is 1010007007. The reversal of 1010007000 is 7000101.

It is a super-2 number, since 2×10100070002 = 2040228280098000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010007007) 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, 47112 + ... + 65111.

It is an arithmetic number, because the mean of its divisors is an integer number (35560980).

Almost surely, 21010007000 is an apocalyptic number.

1010007000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010007000 is an abundant number, since it is smaller than the sum of its proper divisors (2403847080).

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

1010007000 is a wasteful number, since it uses less digits than its factorization.

1010007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112250 (or 112233 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1010007000 is about 31780.6072943863. The cubic root of 1010007000 is about 1003.3246014430.

Adding to 1010007000 its reverse (7000101), we get a palindrome (1017007101).

The spelling of 1010007000 in words is "one billion, ten million, seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 112223 224446 336669 448892 561115 673338 897784 1010007 1122230 1346676 1683345 2020014 2244460 2693352 2805575 3366690 4040028 4488920 5050035 5611150 6733380 8080056 8416725 10100070 11222300 13466760 14027875 16833450 20200140 22444600 25250175 28055750 33666900 40400280 42083625 50500350 56111500 67333800 84167250 101000700 112223000 126250875 168334500 202001400 252501750 336669000 505003500 1010007000