Search a number
-
+
97247280 = 24351371439
BaseRepresentation
bin1011100101111…
…10000000110000
320202222200012010
411302332000300
5144343403110
613352202520
72260405524
oct562760060
9222880163
1097247280
114a991359
1228699440
13171bb890
14ccb5d84
15880e020
hex5cbe030

97247280 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 23546880.

The previous prime is 97247261. The next prime is 97247287. The reversal of 97247280 is 8274279.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97247287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221301 + ... + 221739.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 297247280 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 97247280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

97247280 is an abundant number, since it is smaller than the sum of its proper divisors (232731600).

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

97247280 is a wasteful number, since it uses less digits than its factorization.

97247280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 97247280 is about 9861.4035512193. The cubic root of 97247280 is about 459.8601969609.

The spelling of 97247280 in words is "ninety-seven million, two hundred forty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 71 78 80 104 120 130 142 156 195 208 213 240 260 284 312 355 390 426 439 520 568 624 710 780 852 878 923 1040 1065 1136 1317 1420 1560 1704 1756 1846 2130 2195 2634 2769 2840 3120 3408 3512 3692 4260 4390 4615 5268 5538 5680 5707 6585 7024 7384 8520 8780 9230 10536 11076 11414 13170 13845 14768 17040 17121 17560 18460 21072 22152 22828 26340 27690 28535 31169 34242 35120 36920 44304 45656 52680 55380 57070 62338 68484 73840 85605 91312 93507 105360 110760 114140 124676 136968 155845 171210 187014 221520 228280 249352 273936 311690 342420 374028 405197 456560 467535 498704 623380 684840 748056 810394 935070 1215591 1246760 1369680 1496112 1620788 1870140 2025985 2431182 2493520 3241576 3740280 4051970 4862364 6077955 6483152 7480560 8103940 9724728 12155910 16207880 19449456 24311820 32415760 48623640 97247280