Search a number
-
+
96796700 = 225271113967
BaseRepresentation
bin1011100010100…
…00000000011100
320202010210002222
411301100000130
5144234443300
613334404512
72253521060
oct561200034
9222123088
1096796700
114a703880
1228500738
1317091770
14cbd9aa0
158770785
hex5c5001c

96796700 has 144 divisors (see below), whose sum is σ = 282315264. Its totient is φ = 27820800.

The previous prime is 96796633. The next prime is 96796703. The reversal of 96796700 is 769769.

It is a super-2 number, since 2×967967002 = 18739202261780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96796703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99617 + ... + 100583.

Almost surely, 296796700 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 96796700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157632).

96796700 is an abundant number, since it is smaller than the sum of its proper divisors (185518564).

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

96796700 is a wasteful number, since it uses less digits than its factorization.

96796700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 44.

The square root of 96796700 is about 9838.5313944714. The cubic root of 96796700 is about 459.1488672138.

It can be divided in two parts, 967 and 96700, that multiplied together give a square (93508900 = 96702).

The spelling of 96796700 in words is "ninety-six million, seven hundred ninety-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 967 1001 1100 1300 1430 1540 1820 1925 1934 2002 2275 2860 3575 3850 3868 4004 4550 4835 5005 6769 7150 7700 9100 9670 10010 10637 12571 13538 14300 19340 20020 21274 24175 25025 25142 27076 33845 42548 48350 50050 50284 53185 62855 67690 74459 87997 96700 100100 106370 125710 135380 138281 148918 169225 175994 212740 251420 265925 276562 297836 314275 338450 351988 372295 439985 531850 553124 628550 676900 691405 744590 879970 967967 1063700 1257100 1382810 1489180 1759940 1861475 1935934 2199925 2765620 3457025 3722950 3871868 4399850 4839835 6914050 7445900 8799700 9679670 13828100 19359340 24199175 48398350 96796700