Search a number
-
+
97723640 = 2357273683
BaseRepresentation
bin1011101001100…
…10010011111000
320210212212122002
411310302103320
5200004124030
613410320132
72264431400
oct564622370
9223785562
1097723640
1150187243
1228889048
1317327651
14cd9b800
1588a5245
hex5d324f8

97723640 has 96 divisors (see below), whose sum is σ = 259660080. Its totient is φ = 32997888.

The previous prime is 97723621. The next prime is 97723657. The reversal of 97723640 is 4632779.

It is a junction number, because it is equal to n+sod(n) for n = 97723594 and 97723603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142739 + ... + 143421.

Almost surely, 297723640 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 97723640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129830040).

97723640 is an abundant number, since it is smaller than the sum of its proper divisors (161936440).

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

97723640 is a wasteful number, since it uses less digits than its factorization.

97723640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 97723640 is about 9885.5267942584. The cubic root of 97723640 is about 460.6098401768.

The spelling of 97723640 in words is "ninety-seven million, seven hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 683 730 980 1022 1366 1460 1960 2044 2555 2732 2920 3415 3577 4088 4781 5110 5464 6830 7154 9562 10220 13660 14308 17885 19124 20440 23905 27320 28616 33467 35770 38248 47810 49859 66934 71540 95620 99718 133868 143080 167335 191240 199436 249295 267736 334670 349013 398872 498590 669340 698026 997180 1338680 1396052 1745065 1994360 2443091 2792104 3490130 4886182 6980260 9772364 12215455 13960520 19544728 24430910 48861820 97723640