Search a number
-
+
10700340 = 2235773349
BaseRepresentation
bin101000110100…
…011000110100
3202010122002220
4220310120310
510214402330
61021202340
7156644220
oct50643064
922118086
1010700340
116049362
1237003b0
1322a8581
1415c7780
15e15710
hexa34634

10700340 has 96 divisors (see below), whose sum is σ = 34809600. Its totient is φ = 2405376.

The previous prime is 10700311. The next prime is 10700351. The reversal of 10700340 is 4300701.

It is a super-2 number, since 2×107003402 = 228994552231200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30486 + ... + 30834.

It is an arithmetic number, because the mean of its divisors is an integer number (362600).

Almost surely, 210700340 is an apocalyptic number.

10700340 is a gapful number since it is divisible by the number (10) 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 10700340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404800).

10700340 is an abundant number, since it is smaller than the sum of its proper divisors (24109260).

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

10700340 is a wasteful number, since it uses less digits than its factorization.

10700340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10700340 is about 3271.1374168628. The cubic root of 10700340 is about 220.3598793026.

The spelling of 10700340 in words is "ten million, seven hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 349 365 420 438 511 698 730 876 1022 1047 1095 1396 1460 1533 1745 2044 2094 2190 2443 2555 3066 3490 4188 4380 4886 5110 5235 6132 6980 7329 7665 9772 10220 10470 12215 14658 15330 20940 24430 25477 29316 30660 36645 48860 50954 73290 76431 101908 127385 146580 152862 178339 254770 305724 356678 382155 509540 535017 713356 764310 891695 1070034 1528620 1783390 2140068 2675085 3566780 5350170 10700340