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97431400 = 23521167661
BaseRepresentation
bin1011100111010…
…10111101101000
320210100000202101
411303222331220
5144420301100
613400143144
72262103363
oct563527550
9223300671
1097431400
114aaa7720
1228767ab4
1317254621
14cd230da
15884886a
hex5ceaf68

97431400 has 96 divisors (see below), whose sum is σ = 251189280. Its totient is φ = 34848000.

The previous prime is 97431379. The next prime is 97431401. The reversal of 97431400 is 413479.

It is not an unprimeable number, because it can be changed into a prime (97431401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147070 + ... + 147730.

It is an arithmetic number, because the mean of its divisors is an integer number (2616555).

Almost surely, 297431400 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 97431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125594640).

97431400 is an abundant number, since it is smaller than the sum of its proper divisors (153757880).

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

97431400 is a wasteful number, since it uses less digits than its factorization.

97431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 97431400 is about 9870.7345218074. The cubic root of 97431400 is about 460.1502344824.

Adding to 97431400 its reverse (413479), we get a palindrome (97844879).

The spelling of 97431400 in words is "ninety-seven million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 200 220 268 275 335 440 536 550 661 670 737 1100 1322 1340 1474 1675 2200 2644 2680 2948 3305 3350 3685 5288 5896 6610 6700 7271 7370 13220 13400 14542 14740 16525 18425 26440 29084 29480 33050 36355 36850 44287 58168 66100 72710 73700 88574 132200 145420 147400 177148 181775 221435 290840 354296 363550 442870 487157 727100 885740 974314 1107175 1454200 1771480 1948628 2214350 2435785 3897256 4428700 4871570 8857400 9743140 12178925 19486280 24357850 48715700 97431400