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97929930 = 2357331307
BaseRepresentation
bin1011101011001…
…00101011001010
320211021100121110
411311210223022
5200032224210
613414551150
72266251000
oct565445312
9224240543
1097929930
115030822a
12289684b6
131739a507
14d012a70
1588e6420
hex5d64aca

97929930 has 128 divisors (see below), whose sum is σ = 283852800. Its totient is φ = 21591360.

The previous prime is 97929919. The next prime is 97929941. The reversal of 97929930 is 3992979.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97929919) and next prime (97929941).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 97929930.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318837 + ... + 319143.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 297929930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97929930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141926400).

97929930 is an abundant number, since it is smaller than the sum of its proper divisors (185922870).

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

97929930 is a wasteful number, since it uses less digits than its factorization.

97929930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The square root of 97929930 is about 9895.9552343369. The cubic root of 97929930 is about 460.9337209419.

The spelling of 97929930 in words is "ninety-seven million, nine hundred twenty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 307 310 343 434 465 490 614 651 686 735 921 930 1029 1085 1302 1470 1519 1535 1715 1842 2058 2149 2170 3038 3070 3255 3430 4298 4557 4605 5145 6447 6510 7595 9114 9210 9517 10290 10633 10745 12894 15043 15190 19034 21266 21490 22785 28551 30086 31899 32235 45129 45570 47585 53165 57102 63798 64470 66619 75215 90258 95170 105301 106330 133238 142755 150430 159495 199857 210602 225645 285510 315903 318990 333095 399714 451290 466333 526505 631806 666190 932666 999285 1053010 1398999 1579515 1998570 2331665 2797998 3159030 3264331 4663330 6528662 6994995 9792993 13989990 16321655 19585986 32643310 48964965 97929930