Search a number
-
+
1398259968 = 28371991307
BaseRepresentation
bin101001101010111…
…1100000100000000
310121110001222002020
41103111330010000
510330423304333
6350425321440
746436004450
oct12325740400
93543058066
101398259968
11658310456
12330336280
131938bc781
14d39bbd60
1582b4e3b3
hex5357c100

1398259968 has 144 divisors (see below), whose sum is σ = 4277683200. Its totient is φ = 397191168.

The previous prime is 1398259963. The next prime is 1398259997. The reversal of 1398259968 is 8699528931.

It is a happy number.

It is a super-2 number, since 2×13982599682 = 3910261876222722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1398259963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069171 + ... + 1070477.

Almost surely, 21398259968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138841600).

1398259968 is an abundant number, since it is smaller than the sum of its proper divisors (2879423232).

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

1398259968 is a wasteful number, since it uses less digits than its factorization.

1398259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1518 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The square root of 1398259968 is about 37393.3144826719. The cubic root of 1398259968 is about 1118.2252845673.

The spelling of 1398259968 in words is "one billion, three hundred ninety-eight million, two hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 199 224 256 336 384 398 448 597 672 768 796 896 1194 1307 1344 1393 1592 1792 2388 2614 2688 2786 3184 3921 4179 4776 5228 5376 5572 6368 7842 8358 9149 9552 10456 11144 12736 15684 16716 18298 19104 20912 22288 25472 27447 31368 33432 36596 38208 41824 44576 50944 54894 62736 66864 73192 76416 83648 89152 109788 125472 133728 146384 152832 167296 178304 219576 250944 260093 267456 292768 334592 356608 439152 501888 520186 534912 585536 780279 878304 1003776 1040372 1069824 1171072 1560558 1756608 1820651 2080744 2342144 3121116 3513216 3641302 4161488 5461953 6242232 7026432 7282604 8322976 10923906 12484464 14565208 16645952 21847812 24968928 29130416 33291904 43695624 49937856 58260832 66583808 87391248 99875712 116521664 174782496 199751424 233043328 349564992 466086656 699129984 1398259968