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97207040 = 285719571
BaseRepresentation
bin1011100101101…
…00001100000000
320202220121222202
411302310030000
5144341111130
613351252332
72260150310
oct562641400
9222817882
1097207040
114a9640a7
122867a0a8
13171a6478
14cca5440
158802145
hex5cb4300

97207040 has 144 divisors (see below), whose sum is σ = 280600320. Its totient is φ = 31518720.

The previous prime is 97207001. The next prime is 97207063. The reversal of 97207040 is 4070279.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 97206994 and 97207012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169955 + ... + 170525.

Almost surely, 297207040 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 97207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140300160).

97207040 is an abundant number, since it is smaller than the sum of its proper divisors (183393280).

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

97207040 is a wasteful number, since it uses less digits than its factorization.

97207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 97207040 is about 9859.3630625918. The cubic root of 97207040 is about 459.7967596175.

The spelling of 97207040 in words is "ninety-seven million, two hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 532 560 571 608 640 665 760 896 1064 1120 1142 1216 1280 1330 1520 1792 2128 2240 2284 2432 2660 2855 3040 3997 4256 4480 4568 4864 5320 5710 6080 7994 8512 8960 9136 10640 10849 11420 12160 15988 17024 18272 19985 21280 21698 22840 24320 31976 34048 36544 39970 42560 43396 45680 54245 63952 73088 75943 79940 85120 86792 91360 108490 127904 146176 151886 159880 170240 173584 182720 216980 255808 303772 319760 347168 365440 379715 433960 511616 607544 639520 694336 730880 759430 867920 1023232 1215088 1279040 1388672 1518860 1735840 2430176 2558080 2777344 3037720 3471680 4860352 5116160 6075440 6943360 9720704 12150880 13886720 19441408 24301760 48603520 97207040