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10457370 = 2335711503
BaseRepresentation
bin100111111001…
…000100011010
3201200021211000
4213321010122
510134113440
61012045430
7154612650
oct47710432
921607730
1010457370
1159a2860
123603876
132221ac1
141562dd0
15db8730
hex9f911a

10457370 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2168640.

The previous prime is 10457303. The next prime is 10457389. The reversal of 10457370 is 7375401.

10457370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

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, 20539 + ... + 21041.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 210457370 is an apocalyptic number.

10457370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

10457370 is an abundant number, since it is smaller than the sum of its proper divisors (24379110).

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

10457370 is a wasteful number, since it uses less digits than its factorization.

10457370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10457370 is about 3233.7857071859. The cubic root of 10457370 is about 218.6792075686.

The spelling of 10457370 in words is "ten million, four hundred fifty-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 503 594 630 693 770 945 990 1006 1155 1386 1485 1509 1890 2079 2310 2515 2970 3018 3465 3521 4158 4527 5030 5533 6930 7042 7545 9054 10395 10563 11066 13581 15090 16599 17605 20790 21126 22635 27162 27665 31689 33198 35210 38731 45270 49797 52815 55330 63378 67905 77462 82995 95067 99594 105630 116193 135810 149391 158445 165990 190134 193655 232386 248985 298782 316890 348579 387310 475335 497970 580965 697158 746955 950670 1045737 1161930 1493910 1742895 2091474 3485790 5228685 10457370